Reference angle of 330

If the terminal side is in the third quadrant, the reference angle is the angle minus 180∘ or π. If the terminal side is in the fourth quadrant, the reference angle is 360∘ or 2π minus the angle. In this example, the angle of 330∘ is in the fourth quadrant, so know that in order to find the reference angle, we must subtract the angle ...

Expert Answer 100% (1 rating) Transcribed image text: Without using a calculator, compute the sine and cosine of 330° by using the reference angle. What is the reference angle? …Our cotangent calculator accepts input in degrees or radians, so once you have your angle measurement, just type it in and press "calculate". Alternatively, if the angle is unknown, but the lengths of the two sides of a right angle triangle are known, calculating the cotangent is just a matter of dividing the adjacent by the opposite side. For ...Find the Exact Value sec(330) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. The exact value of is . Step 3. Multiply by . Step 4. Combine and simplify the denominator.Reference angles, Quadrant II · Reference angles, Quadrant III · Reference ... 330°. Finally, let's not forget the angle with measure 0°. In increasing order: 0 ...For sin 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant). Since sine function is negative in the third quadrant, thus sin 240° value = -(√3/2) or -0.8660254. . . Since the sine function is a periodic function, we can represent sin 240° as, sin 240 degrees = sin(240° + n × 360°), n ∈ Z.Reference Angle. When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x x -axis. The reference angle is always between 0 0 and \frac {\pi} {2} 2π radians (or between 0 0 and 90 90 degrees). In both these diagrams, the blue angle y y is a ...

Algebra and Trigonometry (MindTap Course List) Algebra. ISBN: 9781305071742. Author: James Stewart, Lothar Redlin, Saleem Watson. Publisher: Cengage Learning. SEE MORE TEXTBOOKS. Solution for The reference angle of 244 ° is The reference angle of 330 ° is The reference angle of -145 ° is. To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. 315°⋅ π 180° 315 ° ⋅ π 180 ° radians. Cancel the common factor of 45 45. Tap for more steps... 7⋅ π 4 7 ⋅ π 4 radians. Combine 7 7 and π 4 π 4. 7π 4 7 π 4 radians. Free math problem solver answers your ...tan (330) tan ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in …Reference Angle. When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x x -axis. The reference angle is always between 0 0 and \frac {\pi} {2} 2π radians (or between 0 0 and 90 90 degrees). In both these diagrams, the blue angle y y is a ...For example, if the given angle is 330°, then its reference angle is 360° – 330° = 30°. Example: Find the reference angle of 495°. Solution: Let us find the coterminal angle of 495°. The coterminal angle is 495° − 360° = 135°. The terminal side lies in the second quadrant. Thus the reference angle is 180° -135° = 45° Therefore ... sin(−45) sin ( - 45) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin(45) - sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms.Popular Problems. Trigonometry. Find the Reference Angle 90 degrees. 90° 90 °. Since 90° 90 ° is in the first quadrant, the reference angle is 90° 90 °. 90° 90 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.First graph shows an angle of t in quadrant 1. Figure 1. A GENERAL NOTE: REFERENCE ANGLES. An angle's reference angle is the size of the smallest acute angle ...

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form: Decimal Form:Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 2. The exact value of is . Step 3. Multiply by . Step 4. Combine and simplify the denominator. Tap for more steps... Step 4.1. Multiply by . Step 4.2. Raise to the power of . Step 4.3. Raise to the power of . Step 4.4.Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. Step 2. The exact value of is . Step 3. The result can be …A: To convert radians to degrees, the key is knowing that 180 degrees is equal to pi. Q: The radian measure of the angle 1080 ° is. A: We know that 180° = π radian.therefore 1° = π180radian. Q: |Find the radian measures that correspond to the degree measures 330° and –135°. A: 330 degree, -135 degree.

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The reference angle for 160º is 20 ... Example: The sine, cosine and tangent of 330° ...The grade would be 0.06. To calculate the grade of a road with: rise = 12 m; and. run = 200 m: Compute the ratio between rise and run: grade = rise/run = 12/200 = 0.06. If you want to know the angle of the slope, input the value in the arctangent function: slope (angle) = arctan (rise/run) = arctan (12/200) = 3.43°.Trigonometry. Find the Exact Value sec (225) sec(225) sec ( 225) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. −sec(45) - sec ( 45) The exact value of sec(45) sec ( 45) is 2 √2 2 2. − 2 √2 - 2 2.Solve for ? sin (x)=1/2. sin(x) = 1 2 sin ( x) = 1 2. Take the inverse sine of both sides of the equation to extract x x from inside the sine. x = arcsin(1 2) x = arcsin ( 1 2) Simplify the right side. Tap for more steps... x = π 6 x = π 6. The sine function is positive in the first and second quadrants. To find the second solution, subtract ...

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.As mentioned in the solution given below, 120° can be represented in terms of two angles i.e. either 90° or 180°. We can show that 120 degrees can be represented in two angles, whose value can be taken from trigonometry table. 90 degree and 180 degree. 180° – 60° = 120° ———– (1) 90° + 30° = 120° ———— (2) Let’s use ...Precalculus Find the Value Using the Unit Circle 330 degrees 330° 330 ° Evaluate cos(330°) cos ( 330 °). Tap for more steps... √3 2 3 2 Evaluate sin(330°) sin ( 330 °). Tap for more steps... −1 2 - 1 2 Set up the coordinates (cos(θ),sin(θ)) ( cos ( θ), sin ( θ)). ( √3 2,−1 2) ( 3 2, - 1 2)A pentagon can have from one to three right angles but only if it is an irregular pentagon. There are no right angles in a regular pentagon. By definition, a pentagon is a polygon that has five sides, all of which must be straight.And it is this angle we’re trying to calculate in this question. We will call this angle 𝛼. The sum of the magnitude of the directed angle 𝜃 together with the reference angle 𝛼 is a full turn or 360 degrees. In this question, the magnitude or absolute value of negative 330 degrees plus 𝛼 equals 360 degrees. Since the absolute ... csc(330°) csc ( 330 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the fourth quadrant. −csc(30) - csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. −1⋅2 - 1 ⋅ 2 Multiply −1 - 1 by 2 2. −2 - 2tan (330) tan ( 330) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms. The value of cos 240 degrees in decimal is -0.5. Cos 240 degrees can also be expressed using the equivalent of the given angle (240 degrees) in radians (4.18879 . . .) ⇒ 240 degrees = 240° × (π/180°) rad = 4π/3 or 4.1887 . . . For cos 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant ). Since cosine function is ...Precalculus Find the Value Using the Unit Circle 330 degrees 330° 330 ° Evaluate cos(330°) cos ( 330 °). Tap for more steps... √3 2 3 2 Evaluate sin(330°) sin ( 330 °). Tap for more steps... −1 2 - 1 2 Set up the coordinates (cos(θ),sin(θ)) ( cos ( θ), sin ( θ)). ( √3 2,−1 2) ( 3 2, - 1 2)Find the Exact Value sin(330 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

Find the Reference Angle (4pi)/3. Step 1. Since the angle is in the third quadrant, subtract from . Step 2. Simplify the result. Tap for more steps... Step 2.1. To write as a fraction with a common denominator, multiply by . Step 2.2. Combine fractions. Tap for more steps... Step 2.2.1. Combine and .

Find the reference angle for -60° Solution:-60° is a negative angle. Find the coterminal angle for -60°:-60° + 360°= 300° Find the reference angle for 300° 300° lies in fourth quadrant. The formula for reference angle in second quadrant is: α R = 360° – α. When: α R = 360° – 300° = 60° Therefore, the reference angle for -60 ...Reference angle for 330°: 30° (π / 6) Reference angle for 335°: 25° Reference angle for 340°: 20° Reference angle for 345°: 15° …sec(240) sec ( 240) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. −sec(60) - sec ( 60) The exact value of sec(60) sec ( 60) is 2 2. −1⋅2 - 1 ⋅ 2. Multiply −1 - 1 by 2 2. −2 - 2. Trigonometry Find the Reference Angle 330 degrees 330° 330 ° Since the angle 330° 330 ° is in the fourth quadrant, subtract 330° 330 ° from 360° 360 °. 360°− 330° 360 ° - 330 ° Subtract 330 330 from 360 360. 30° 30 °May 30, 2022 · The reference angle on a unit circle is the smallest, positive central angle formed by the terminal side of the angle and the x-axis.To find the reference angle: Points on the unit circle in ...The angle 135° has a reference angle of 45°, so its sin will be the same. Checking on a calculator: sin(135) = 0.707. This comes in handy because we only then need to memorize the trig function values of the angles less than 90°. The rest we can find by first finding the reference angle.csc(330°) csc ( 330 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosecant is negative in the fourth quadrant. −csc(30) - csc ( 30) The exact value of csc(30) csc ( 30) is 2 2. −1⋅2 - 1 ⋅ 2 Multiply −1 - 1 by 2 2. −2 - 2For sin 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant). Since sine function is negative in the third quadrant, thus sin 240° value = -(√3/2) or -0.8660254. . . Since the sine function is a periodic function, we can represent sin 240° as, sin 240 degrees = sin(240° + n × 360°), n ∈ Z.Trigonometry. Find the Reference Angle -760. −760 - 760. Find an angle that is positive, less than 360° 360 °, and coterminal with −760° - 760 °. Tap for more steps... 320° 320 °. Since the angle 320° 320 ° is in the fourth quadrant, subtract 320° 320 ° from 360° 360 °. 360°− 320° 360 ° - 320 °. Subtract 320 320 from 360 360.

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Since 330 is thirty less than 360, and since 360° = 0°, then the angle 330° is thirty degrees below (that is, short of) the positive x -axis, in the fourth quadrant. So its reference angle is 30°. Affiliate Notice how this last calculation was done. I didn't have a graph. I just did the arithmetic in my head.Find the Exact Value sin(330 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. #csc 330 = csc (360 - 330) = -csc 30 = 1/ -sin 30 = -2# Answer link. Related questions. ... How do you use the reference angles to find #sin210cos330-tan 135#?If the terminal side is in the third quadrant, the reference angle is the angle minus 180∘ or π. If the terminal side is in the fourth quadrant, the reference angle is 360∘ or 2π minus the angle. In this example, the angle of 330∘ is in the fourth quadrant, so know that in order to find the reference angle, we must subtract the angle ...To solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for the variable. Use inverse trigonometric functions to find the solutions, and check for extraneous solutions.Add +360 degrees until you have a positive angle, then sketch. The reference angle is the angle from the sketch to the x-axis, in this case, 60 degrees. It makes sense here to state the angle in terms of its positive coterminal angle. To find this, add a positive rotation (360 degrees) until you get a positive angle. -240+360=120 Since …2. Add or subtract 360° when working with degrees. To find a coterminal angle, you must rotate the terminal side in a complete circle. Simply take your original angle and add or subtract 360°. [3] The formula can be written as θ±360°, where θ is your original angle. For example, if your original angle was 30°, you may write 30° + 360°.Trigonometry. Find the Reference Angle 390 degrees. 390° 390 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 390° 390 °. Tap for more steps... 30° 30 °. Since 30° 30 ° is in the first quadrant, the reference angle is 30° 30 °. 30° 30 °. Free math problem solver answers your algebra, geometry ... 330° 330 ° Evaluate cos(330°) cos ( 330 °). Tap for more steps... √3 2 3 2 Evaluate sin(330°) sin ( 330 °). Tap for more steps... −1 2 - 1 2 Set up the coordinates (cos(θ),sin(θ)) ( cos ( …sin(−45) sin ( - 45) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin(45) - sin ( 45) The exact value of sin(45) sin ( 45) is √2 2 2 2. − √2 2 - 2 2. The result can be shown in multiple forms.Trigonometry. Find the Reference Angle 390 degrees. 390° 390 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 390° 390 °. Tap for more steps... 30° 30 °. Since 30° 30 ° is in the first quadrant, the reference angle is 30° 30 °. 30° 30 °. Free math problem solver answers your algebra, geometry ... ….

460°– 360° = 100°. Take note that -520° is a negative coterminal angle. Since the given angle measure is negative or non-positive, add 360° repeatedly until one obtains the smallest positive measure of coterminal with the angle of measure -520°. −520° + 360° = −160°. −160° + 360° = 200°. Question: Compute the sine and cosine of 330∘ by using the reference angle. a.) What is the reference angle? degrees. b.)In what quadrant is this angle? (answer 1, 2, 3, or 4) c.) sin (330∘)= d.) cos (330∘)= * (Type sqrt (2) for √2 and sqrt (3) for √3 ** Please show all your work. Compute the sine and cosine of 330∘ by using the ... Illustration showing coterminal angles of 330° and -30°. Coterminal angles are angles drawn in standard position that have a common terminal side.The steps to calculate the reference angle are here: Firstly, find the coterminal angle for the given angle that lies between 0° to 360°. Check whether the obtained angle is close to 180° or 360° and by how much. Now, obtained is the reference angle of the given angle. 2.What is the reference angle for 330? 30 degrees. Since the absolute value of negative 330 degrees is simply 330 degrees, we have this angle plus 𝛼 equals 360 degrees.Final answer. Without using a calculator, compute the sine and cosine of 330∘ by using the reference angle. What is the reference angle? degrees. In what quadrant is this angle? (answer 1 2,3 , or 4 ) sin(330∘) = cos(330∘) = (Type sqrt (2) for 2 and sqrt(3) for 3 .) Without using a calculator, compute the sine and cosine of 67π by using ...Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant . Step 2A reference angle, denoted θ ^, is the positive acute angle between the terminal side of θ and the x -axis. The word reference is used because all angles can refer to QI. That is, memorization of ordered pairs is confined to QI of the unit circle. If a standard angle θ has a reference angle of ˚ 30 ˚, ˚ 45 ˚, or ˚ 60 ˚, the unit circle ...-sqrt3 Cot 330= cot 360-30 = cot -30= -cot 30=-sqrt3. Trigonometry . Science ... How do you use the reference angles to find #sin210cos330-tan 135#?Jun 26, 2023 · An angle’s reference angle is the size angle, \(t\), formed by the terminal side of the angle \(t\) and the horizontal axis. See Example. Reference angles can be used to find the sine and cosine of the original angle. See Example. Reference angles can also be used to find the coordinates of a point on a circle. See Example. Reference angle of 330, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]