Use the Difference Formula for Cosines to Find the Exact Value of cos 80° cos 20° + sin 80° sin 20°.

Q: Find the exact value of each expression. cos 70° cos 20° - sin 70° sin 20°.

A: Given expression is, cos 70° cos 20° - sin 70° sin 20°.

Q: Use a sum or difference formula to find the exact value of the following. sin 148° cos 103° - cos…

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Q: If sec 0 = -13/6 and sin 0 > 0, what is 3sine + cos(0)?

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Q: Use addition formulas and the values of sin(ø) and cos(ø) for ø=pi/3 , pi/4 to compute sin(pi/12)…

A: Use formulae: also, make use of:

Q: Use an addition or subtraction formula to write cos 8°cos 44° + sin 8°sin 44° as a trigonometric…

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Q: if sin + 90 degrees is = cosine sin + 180 degrees = -sin what is sin - 90 degrees

A: if sin (+ 90 degrees) is = cosine sin (+ 180 degrees) = -sin what is sin - 90 degrees

Q: Give a general formula for all solutions to the equation 2 sin(29) = – V3. Use exact values in…

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Q: Express the given sum or difference as a product of sines and/or cosines cos 2x+ cos 4x

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: We know that, from the half angle formula sinθ2=1-cosθ2…

Q: find sin θ and cos θ if the point (9.37, 7.03) is on the terminal side of θ

A: The point (9.37,7.03) is the terminal side of θ. The distance between the point and the radius is…

Q: Find the value of sin40 cos20 +cos 40 sin20

A: sin40 cos20 +cos 40 sin20we will use  cos(a)cos(t)-sin(s)sin(t)

Q: Find the exact value of cos(83°) cos(23°) + sin(83°) sin(23°)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If 0 is an angle in standard position and its terminal side passes through the point (20,21), find…

A: Given :            If theta is an angle in standard position and its terminal side passes through…

Q: Find cos2θ if sinθ=7/25

A: From the given information, sin ϴ = 7/ 25.Known fact,  cos 2ϴ = 1 - 2 sin2 ϴ.

Q: Use half-angle formula to find exact value of cos 15°

A: Given,          cos15°We know that,         cosθ2=1+cosθ2

Q: The formula sin a sin b = (cos(a – b) – cos(a + b)] can be used to change a the of two sines into of…

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Q: Use a 7.3 double angle formula to find sin2θ when cotθ= 4/3 and π<θ<3π/2.

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Q: Determine the exact value of the trigonometric expression  sin30 * cos30 + sin60 * cos60

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Q: Use an Addition or Subtraction Formula to simplify the equation. 1 sin(20) cos(0) – cos(20) sin(0) 2

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Q: According to the Cofunction Theorem, which value is equal to sin 35   0?      cos 35 0

A: We have to find the value of sin35° equal to its cofunction.

Q: find the exact values of the trigonometric values below sin60 + cos45 - tan60

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Q: The formula a - b sin 2 a + b cos a - cos b = -2 sin 2 can be used to change a of two cosines into…

A: The given trigonometric formula, cosa-cosb=-2sina+b2sina-b2 Take the left side of the expression.…

Q: Find the value of cos (570)sin (510) + sin (- 330)cos (- 390)

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Q: Find the exact value of cos 2 .... cos 2 (Type your answer in radians.)

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Q: Apply the double angle formulas: cotθ = (square root of 2)/6, cosθ < 0 a. sin2θ b. cos2θ c.…

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Q: Find an angle 60 with 0° < 0 < 360° that has the same: Sine as 70°: 0 = 0.9396 x degrees Cosine as…

A: We know that sine function is positive on both first and second quadrant, cosine function is…

Q: Use half-angle formula to find exact value of cos 15°.

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Q: Find the exact values of cos theta, sin theta, and tan theta if theta is in standard position and P…

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Q: Find the exact value. sin(930°) = cos(930°) COS

A: We have to find the exact value of    sin(930°) cos(930°)   930 can be written as 180*5+30 180°=π…

Q: Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos 2x = cos?(x) –…

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Q: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

A: Use an Addition or Subtraction Formula to simplify the equation. cos(θ) cos(2θ) + sin(θ) sin(2θ) =…

Q: Express the given sum or difference as a product of sines and/or cosines. sin 40 + sin 60

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

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Q: Give exact values for sin 30°, cos 30°, sin 60°, and cos 60°.

A: We have to write the exact values of given trigonometry terms

Q: Use a sum or difference formula to find the exact value of the following. sin 5 sin 15 Cos cos - 5…

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Q: 14. Write sin 36° in terms of cosine. 14. CoS

A: We have to write sin 36° in terms of cosine. We know the complementary formula, sin θ=cos90°-θ

Q: Please find the exact value of cos 165 degrees

A: Find the value of cos(165°).

Q: Express the given sum or difference as a product of sines and/or cosines. cos 20 + cos 60

A: Given expression

Q: Find the exact value by using a sum or difference identity. 15) sin (95") cos (35') - cos (95") sin…

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Q: Use an Addition or Subtraction Formula to simplify the equation. sin(30) cos(0) – cos(30) sin(0) %3D…

A: Given equation is sin3θcosθ-cos3θsinθ=12. Note that, the difference formula of sine is…

Q: Simplify cos 22° cos 23° – sin 22° sin 23º. -

A: Our Aim is to simplify cos (22°) cos 23°-sin (22°) sin 23°-(i)

Q: Find an exact value for cos(75 degrees)

A: Given: The trigonometric angle cos75° To find: The exact value of cos75°.

Q: Verify the identity by transforming the lefthand side into the right-hand side.

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Q: Assume that cos(0.19) = 0.98. Use properties of the cosineand sine to determine sin(0.19), cos(0.19…

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Q: Find the exact values of the sine, cosine, and tangent of the angle. 12 3 -1 sin (- ) 2 2 12 1- 3…

A: Let us consider

Q: If cos(θ)=−16cos(θ)=-16 and θθ is in the 3rd quadrant, find sin(θ)sin(θ)

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Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 200°: 0 - |degrees Cosine as 200°: 0-…

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Q: Use a sum or difference formula to find the exact value of the expression cos 65° cos 5° + sin 65°…

A: By using trigonometric formula, cosA-B = cos A cos B + sin A sin B To find exact value of  cos 65°…

Q: Use half-angle identifies to find the exact value.  Show all work!  cos(3π/8)

A: Using half angle identity , need to findcos(3π8)

Q: show work.

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