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

Q: Find the exact value of: sin-1 1

A: Given: sin-11

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

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Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: Find, in radians, the general solution of the equation cos2x + 1 sin2x. i) Find the general solution…

A: We have to find the general solution of Cos2x +1 = Sin2x

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Q: Find the exact value of sin(π/3) sin(π/3)=

A: We can make it easier for you

Q: Prove the following identities 1- sine (sece-tane) 1+sine

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

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Q: ) A)= show that sn A-esA z|-Sin 2 A exact value of Sinis- losis Hence. find. the.

A: i To show that, sin A-cos A2=1-sin 2Aii To find the exact value of sin 15°-cos 15° by using the…

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: We need to prove the following condition 1+sinθ1-sinθ = cos2θ

Q: Express as a trigonometric function of one angle. cos 12° cos 52° − sin 12° sin 52°

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Q: Find the exact value of sin(π/4)

A: sin (π/4)=1/√2. see 2nd step .

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Q: Use a calculator to approximate the value to four decimal places. sin 2

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Q: Find the exact value of sin 0 18 14 IN

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Q: Use De Moivre's Theorem with n= 3 to express cos 3θ and sin 3θ in terms of cos θ and sin θ.

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Q: (a) Prove that Sin-1x  + Cos-1 x  = π/2 .(b) Use part (a) to prove Formula 6.

A: a) We have to prove sin-1x+cos-1x=π2 Let sin-1x=θ                                     ⋯⋯1…

Q: Find a value of x that satisfies the equation sin (-13°) = cos (x). %3D Submit

A: To find the value of x

Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

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Q: Find the exact value of:

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Q: State whether the following statement is true or false. sin20 = 1- cos 20 Choose the correct answer…

A: We have to check

Q: and tan (즐) Find sin cos from the given informat 5 sin(x) 0° < x < 90° 13" %3D

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Q: By using the relationship between the hyperbolic sine function and its inverse, prove * (sinh (z)] =…

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Q: Use De Moivre's Theorem to raise the indicated powers. [5 (cos16° + i sin16°)] ^-4

A: We have given a complex number ,  z = 5 cos 16° + i sin 16°-4 We know that , DeMoivre's theorem ,…

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

A: value=?

Q: verify the trigonometric identity below. 1+ sin(2θ)+(sin(θ)+cos(θ))^2

A: Given data 1+sin2θ=sinθ+cosθ2

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Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

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Q: 1.Determine the exact value of 2 sin 60° x tan 30°.

A: Given expression is 2sin260°×tan30° Let I=2sin260°×tan30°           (1)

Q: 3. Find the area of one of the sine curve.

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Q: 5. Is the equation cos 0 - sin 0 = 1 an identity? If so, verify it. If not, explain why. %3D

A: As we know that an identity is satisfied by any value of variable . Let's check for given equation .

Q: Use De Moivre’s Theorem with n = 3 to express cos 3θ and sin 3θ in terms of cos θ and sinθ.

A: To express cos3θ and sin 3θ in terms of cosθ and sinθ, using De Moivre's theorem with n=3. De…

Q: 1 minus the fraction of cos squared theta/ 1 plus sin of theta

A: Use Pythagorean identity sin^2 theta + cos^2 theta=1  This gives, cos^2 theta = 1 - sin^2 theta

Q: 2. Give the exact value of the principle root in radians of "simplify the radical 3+ 2/2 sin 0 = 5.

A: Given,

Q: The value of sin30° × sin30° is: O 1/2 O 1 O 1/4

A: We know that for a right-angled triangle,  Sin(x) = base/hypotenuse Also sin(x) = cos (90° - x)

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Q: What is the exact value (not a decimal approximation) of sin

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Q: Simplify cos sin(9z) + sin(3z) s(92)- cos(3z) to an expression involving a single trigonometric…

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Q: 15. What is the exact value of sin 75°?

A: Sin 75° = Sin(45° + 30°) Sin (A + B) = Sin A. Cos B + Cos A. Sin B Sin (45° + 30°) = Sin 45°. Cos…

Q: Prove that sin 4A = 4sinA cos³A – 4 cosA sin'A.

A: we have to show that the following

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Q: 1. Verify the following identity: 2sinx = sin(2x) secx Using trigonometric identities to transform…

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Q: Which of the following is equal to sin (0 –- )?

A: Given: sinθ-π3 we know that sinA-B=sinAcosB-cosAsinB                                   ..1

Q: Assume sin(0) = 12 where 0 < 0 <. Compute the following in terms of x. tan (20) cos (2) - -

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Q: Find the exact value of sin 3

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

A: Below is the explanation of the question.