Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the J J interval 2 2 6 sin 2x 8 cos x + 9 sinx = 6

Q: Find the product of zı and z2 Given zı = 4 (cos 180 ° + i sin 180 °) and Z2 = 4 (cos 145° + i sin…

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Q: csc2 x + sec? a Csc* cos?

A: Given:       csc2x+sec2x=csc2xcos2x

Q: (ii) 2 tan? 45° + cos² 30° – sin? 60°

A: We know that, tan 45° = 1 cos 30° = √3/2 sin 60° = √3/2

Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB %3D

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Q: Write the general solutions for: 2 sin x+ cos x-1 = 0.

A: Given below the detailed solution

Q: What values of x, within the in s 2x + 10 sin x - 7= 0?

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Q: Find L(sin3t cos3t)

A: We have to find L{sin3tcos3t}

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: Determine the exact value of cos T + TT 3 6

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Q: Find the exact value of sin 2π sin ²-0 = 3 2π 3

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Q: e the triangle. For the sides, give an expres B C 101° a A 42° b=40 C

A: Step 1: From the figure, let's write the data:∠A=42∘,∠B=101∘,b=40,we have to find exact and…

Q: Use an identity to solve the equation cos 2x = cos x on the interval [0, 2π).

A: Given:cos2x=cosx on the interval [0,2π)Formula:cos2x=cos2x-sin2xsin2x=1-cos2x

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: 1 cos tan V3 + sin-1 2

A: Given : costan-13+sin-112

Q: Prove that i2-i0 e-e %3D sincd

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

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: 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,…

Q: -1+3 cos 0 = 3V3 - 1

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