Prove the given cos4A-cos2A=sin4A-sin4A

Q: -4 If Cos A = 5 %3D of Sin 2A

A: Explanation and solutions is given below....

Q: . Evaluate cos 0 if sin 0 = -1/4 and 0 is in quadrant II

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A: Given that: cos(67.5°)

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Q: Prove the given cos4A-cos2A=sin4A-sin2A

A: Explanation of the prove is given below...

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

Q: Prove the given identity  cos4A-cos2A=sin4A-sin2A

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Q: Use de Moivre's Theorem to find the following.  [2(cos 20° + i sin 20°)]3

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

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A: We have to find the exact value of , 2cos15° cos75°

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Q: Assume that 0 ≤ θ &lt; π/2.

A: Given that

Q: Find cos (20) if sin 0= 8. cos 0>0 17

A: Given : sin θ=817Opposite side to θ is 8hypotenuse is 17 Now use Pythagorean theorem to find the…

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A: We use the identity sin-1x+cos-1x=π/2

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Q: Find sin0 & cos 0 if give 7 and 90°<0 <180°. 12 cos 20 =

A: 90°&lt;θ&lt;180°    then sin θ = + ve    cosθ = - ve

Q: If sin theta = 3/2 and theta terminates it .Find cos theta

A: Given that sinθ=32 and theta terminates in it. It is known that cosθ=±1-sin2θ. This implies that,

Q: If 0° < 0 < 90° and sin 0 = find cos 20.

A: Here the angle lies in the first quadrant and value of sin is given. So to find the Value of cos…

Q: If cos(8) 1 and 0 is in the 3rd quadrant, find sin(0) %3D 6. sin(0) = %3D

A: Given: Since, So,

Q: Find the exact value of cot (cos^-1 (-4/7))

A: As we know that sinx=1-cos2x   and cotx=cosxsinx

Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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Q: Compute the exact value of cos(-5π/8)

A: Given: The trigonometric ratio cos-5π8 To find: The exact value of given trigonometric ratio.

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Q: Find cos 20 if sin 0 = cos 20

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Q: If 0 = then 3 cos(8) = %3D sin(0) = %3D

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Q: Find the exact value of the cos (225°) 0-1 V2 01 V2 2)

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Q: If sin theta = -4/5   and theta terminates it . Find cos theta

A: Given that, sinθ=-45

Q: Find the exact value of cos 20 if cos 0 and 0 lies in QII %3D

A: cos2θ = 2cos2θ - 1          =2(-13)2 - 1          =29 - 1          =-79

Q: Find cos 20 if sin 0 %3D cos 20 = %3D

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Q: Use a sum-to-product formula to rewrite cos 7a- cos 4a as a product. cos 7a - cos4a =|| sin

A: Topic - trigonometric identities Cos (x) - cos (y) = -2 sin((x+y)/2)×sin((x-y)/2)

Q: list the first six specific solutions of the equation cos theta = 1/2 that are greater than or equal…

A: We have to find  first six specific solutions of the equation cosθ=12.

Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

A: See the details solution below

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Q: Find cos ⁡(2θ) if sin (θ) = 2/13.

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Q: Express as a sum or difference:4 sin 3 θ cos 7 θ

A: Consider the provided expression, 4sin3θcos7θ Express as a sum or difference. Use the formula of…

Q: Find the exact value.. 1. Cos 70°cos40°+sin70°sin40° 2. Sin 7π/12 using the fact the 7π/12= π/3 +π/4

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Q: What is cos10∘cos8∘−sin10∘sin8∘ equal to?

A: To solve the problem we must know about sum and difference formula of sinθ  and cosθ.  We have to…

Q: Find the principal 5th root of 50 (cos150° +i sin150°).

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Q: in

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Q: Find identities for cos 50 and sin 50 using De Moivres Theorem.

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Q: Find the value of the expression (cos2230-sin2670)

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Q: What are the three formulas for cos 2A?

A: Three formulas for cos 2A are

Q: Evaluate a)  2 cos180°/sin90° and  b) sin 150⁰

A: Solution: The objective is to find the required values

Q: cos COS

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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)