Find zw and . Write each answer in polar form and in exponential form. 2т z = COs 3 +i sin 27 and 57 + i sin 9. 57 W = COS 11T 11T Zw = coS + i sin 7 11T or e 7 E + i sin = COS or 11T 11T +i sin 9. 11T Zw = COS or e 9 ||

Q: Write z, and z₂ in polar form. (Express 8 in radians. Let 0 ≤ 8 < 2m.) Z₁ = 4√3-41, 2₂ = -1 +/ Л 2₁…

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Q: Verify if the given identity is true or false. sin²+ cos² 0 + tan²0 sec²0 O True False

A: To verify whether the given identity is true or false.

Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

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A: Given: sinπ4=          ……1cos8π3=          ……2

Q: -1 Determine sin=(cos a) Provide your answer be

A: cosa can be written as sin(pi/2-a) sin and sin inverse get canceled see attached image

Q: csc? a + sec? æ 1 cos x sin z

A:

Q: 1 + cos 20 57. Show that cos?e = 2

A: Show that the given identity, cos2θ=1+cos2θ2. Addition property:  cosA+B=cosAcosB-sinAsinB

Q: Let E R. Show that cos 20 cos²0-sin² 0.

A:

Q: Cos 0+1 C3c 0+cot 0 Cos CSC

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

Q: Derive the cosine formula a2 = b2 + c2 – 2bc cos A and the sine formula sin A sin B sin C а b C…

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Q: Simplify sin2 θ + tan2 θ + cos2 θ. Using fundamental identities.

A:

Q: 6. Rewrite over a common denominator: 1 /1 - cos v + 1/ 1 + cos v

A: We have given 11-cosv+11+cosv Then, 11-cosv+11+cosv=1+cosv+1-cosv1-cosv1+cosv=21-cos2v=2sin2v

Q: Express as a sum.(cos au)(cos bu)

A: Given : (cos au)(cos bu)

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A: We have to prove eiθ-e-iθsin θ=2i Now, sin x can be expressed in exponential form as sin…

Q: cos a Jsin a

A: Given: ∫cos5αsinαdα =∫(1-sin2α)2cosαsinαdαApply u-substitution u=sinα…

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: a) Evaluate the following: 1 - 2 - L {sin3t cos3t} , 3 - I {sinht sint}

A:

Q: 2 sin COS

A: we use the formula :Sin 2θ = 2 sinθ cosθ.

Q: 1 sin4 0 = 3/7-1/10 20 + — + co cos 82 8 cos 40

A: We need to prove the given identity.

Q: COS 10T - i sin 10TT 3 3 GT+ 3 of 學 4T COS 27 + 40 3 C1) - 1 2

A: Use trigonometric ratios

Q: cos- 0 + sin 0 = 1 COS

A: We know values of basic sin and cos, like sin0 = 0 = sinpi , sinpi/2 = 1 cos0 = 1 , cospi = -1,…