Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

Q: Find the exact value of the express 12 sin sin tan 13

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Q: Write sin 17° in terms of cosine. sin 17° COS %3D

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Q: Express 2 sin 13° cos 48° v. as a sum

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Q: Prove the identity. cos8x+cos2x / sin8x+sin2x = cot5x

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Q: Show that sin ( 40) (cos 0) (4 sin 0 – 8 sin³ 0). %3D

A: To show: That sin 4θ=cos θ4 sin θ-8sin3θ. Formula used: sin A+B=sin A·cos B+sin B·cos A cos…

Q: Use a right triangle to prove the Pythagorean identity: sin²x + cos²x = 1

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Q: Find the exact value of sin(π3)

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Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

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Q: Compute the exact value of sin() (7. 8

A: To find:sin7π8

Q: Determine the exact value of sin 160° cos 35° – sin 75° cos 55°. -

A: Given information: sin160cos35-sin(75)cos(55)

Q: Verify the identity 2 sin3θ cos θ + 2 sin θ cos3θ= sin 2θ.

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Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can…

Q: 1. sin' ( 1/ 2)

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: explain why sin(0)=cos(90-0)

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Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: Find sin2x, cos2x, and tan2x if sinx=3/10 and x terminates in quadrant I.

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Q: Find the value of cos 1- + 2 sin 1/2

A: value=?

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: Find the exact value of sin-1 √3/ 2.

A: The given inverse trigonometric function is sin-132  , Consider sin-132  =θ⇒32 =sinθ⇒sinθ=32

Q: Suppose that sin(θ)=3/7. What cot(θ)=______

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Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: What is the exact value of 2 sin π/3 - 3 tan π/6?

A: To evaluate:                     2 sinπ3 - 3 tanπ6

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

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Q: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

A: Verify the identity: 2 sin3 θ cos θ + 2 sin θ cos3 θ = sin 2θ

Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let…

Q: Verify the identity: sin(α + β) sin(α - β) = cos2 β - cos2 α

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Q: Prove that cos 17° + sin17° tan62° %3D cos17° – sin17°

A: Devide the whole left side by Cos17° and use formula of tan(a+b)

Q: Let 0 <0<. If sin 0 3 what is the value of sin 20?

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Q: 2) Explain why sin(@) = cos(90 - 0). %3D

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Q: Express as a sum or difference.2 sin 9 θ cos 3 θ

A: Given,           2sin9θcos3θ

Q: Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D

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Q: Find the exact value of sin-1 (-√2/ 2).

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Q: Use a sum-to-product formula to rewrite sin 8b+ sin3b as a product. sin 8b + sin 3b = [] OsinO Ocos…

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Q: Use Trigonometric identities to show that cos(2θ) + 2 sin2 (θ) = 1

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Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sine.

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Q: Find the exact value of cos^-1(sin (7π/6))  show work

A: cos-1(sin7π6)nowsin7π6=-12

Q: verify the identity sin2x-sin2y=cos2y-cos2x

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Q: 5. Write sin 33° in terms of cosine.

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Q: Verify the identity : 2 sin2x-1= 1- 2 cos2x

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Q: TT CoS-+COs sin 3 = sin Prove that Sin 3 - 6. 6. 2.

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Q: What is 16 sin 4x cos 4x = ?

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Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: Verify the identity: sin2xcotx-cos2x=1

A: Given that, The identity is, sin2x cotx - cos2x = 1 we have to prove it.

Q: Verify the identity: tan θ = (1 - cos 2θ)/sin 2θ..

A: Given, tanθ=1-cos2θsin2θ

Q: Find the principal value of sin(4+7j).

A: Below is the explanation of the question.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.