Use the half-angle identities to find the exact value of the trigonometric expression. sin 곰 12

Q: Find the values of the six trigonometric functions for the angles in standard position having the…

A: Given:-12,-5

Q: Use the Addition Formula for Sine to prove the Double-Angle Formula for Sine.

A: The addition formula for sine is By replacing b by a

Q: Use double- and half-angle formulas to find the exact value of the expression sin 22.5°.

A: Given: sin 22.5° To find: The exact value by using double and half-angle formula.

Q: If (-2, 5) is a point on the terminal side of angle θ, find the exact value of each of the six…

A: Given  The (-2, 5) is a point on the terminal side of angle θ. To draw triangle using given point.…

Q: Use double- and half-angle formulas to find the exact value of the expression cos2 15° - sin2 15°.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Use the half-angle identities to find the exact value of the trigonometric expression. sin 75°

A: The given trigonometric expression is  sin 75°   Half angle formula: sin θ2=1-cos θ2sin θ=1-cos 2θ2

Q: "use the fact that the trigonometric functions are periodic to find the exact value of each…

A:

Q: angle

A: In-order to determine the height of the gage blocks, Height of Gage Blocks (units are the same as…

Q: sinocos0 tan0 cos² cos? 0-sin0 1-tan 0 2 2

A: Solution is done in step 2

Q: If (-2, 5) is a point on the terminal side of angle 0, find the exact value of each of the six…

A: We draw the figure as

Q: Verify the trigonometric identity.

A: Trigonometric identities are expressions in trigonometric functions that are true for all values of…

Q: Use a half-angle formula to find sin(105°). Simplify your answer completely.

A:

Q: find Cos0, tan0, and Sin0 if sec0=3 and 0 is acute.

A: To find the given values at an acute angle θ such that sec θ=3

Q: If you are given a point on the terminal side of angle 6, explain how to find sin 6.

A: Consider the provided information, Let we have a point x,y.

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 260° degrees Cosine…

A: An angle 0°&lt;θ&lt;360°, that has samesin(260°)cos(260°)

Q: 1 = sec0-tan0 sec0+tan0

A:

Q: csc(θ+2π)tan(θ)

A:

Q: Use appropriate double angle formulas to rewrite sin^(4)\theta in terms of the first power of the…

A:

Q: use a half-angle formula to find sin(105degrees).  Simplify your answer completely.

A:

Q: Use Half-angle Formulas to find the exact value of each expression; sin 195°

A: Given,       sin195°=

Q: Find another angle theta between 0 degrees and 360 degrees that has the same cosine as 245 degrees.…

A:

Q: Find the exact values of the six trigonometric functions of an angle 0 in standard position if ( -…

A: The given point is (-12,5), thus its has -12 units on the x-axis and 5 units on the y-axis. Join the…

Q: find the exact value of the expression: 15 tan? + 6 sec2

A:

Q: sec(-2)

A:

Q: Find the value of 6 trigonometric functions

A:

Q: Determine the height of  gage blocks required to set an angle of 17Degrees22" on a 5" sine plate.…

A: The length of the sine plate is: 5 inches The angle to be set is: 17°22'' 17 degrees 22 seconds

Q: Which trigonometric functions are positive in each quadrant?

A: Our Aim is to tell which trigonometric function are positive in eachquadrant ?

Q: Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its…

A:

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 70°: 0 = degrees Cosine as 70°: 0 =…

A:

Q: Calculate sin(5) and cos(-270°). Include a sketch of each angle.

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Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 210° 0 = degrees Cosine…

A:

Q: What is the sin of θ = 40°?

A:

Q: Find the exact value of the expression sin 495°. Do not use a calculator.

A: Consider sin495∘

Q: Use trigonometric substitution with clear and complete solution.

A:

Q: arccsc(-V2) cCC

A:

Q: If csc0 = 5/2, find the exact value of the remaining trigonometric values of angle 0

A:

Q: The cosine of the smallest angle in a right triangle is 0.8. What is the sine of the other acute…

A: If smallest angle is θ then other acute angle will be 90-θ sin90-θ=cosθ

Q: If sin0=, then what is the value of cose 95

A:

Q: 4. Write the Double angle formulas for sine cosine and tangent

A: Solution:-

Q: Find the exact value of the expression. Do not use a calculator. 4 sin! ト

A:

Q: 14. 19 4

A: Labeling the given triangle as ABC               From the figure the ∠C = 90° then the triangle ABC…

Q: Use fundamental identities to write tan0 in terms of sin0 for an acute angle 0.

A: To write tanθ in terms of sinθ for an acute angle θ

Q: Rewrite in terms of sines and cosines:

A:

Q: Which trigonometric value is positive?

A:

Q: Find exact values of the six trigonometric functions for each angle. Rationalize denomi- nators when…

A: 135

Q: Use reference angles to find the exact value of the expression.   sin (-315)

A:

Q: Find the exact values of the six trigonometric functions of the angle. - 225

A: Given query is to find the 6 trigonometric functions of angle -225° .

Q: If the sine of an angle is 17' 8 what is the cosine of the angle's complement?

A: Two angles are said to be compliment angles if they add up to 90 degrees. Let x be the given angle,…