Question

If sin 2theta=cos3theta, then theta=???​

Answer 1

Answer:

18

Step-by-step explanation:

$\sin2( \infty ) = \cos3( \infty ) \\ \sin(2 \infty) = \sin(90 - 3 \infty ) \\ 2 \infty = 90 - 3 \infty \\ 5 \infty = 90 \\ \infty = 90 \div 5 \\ \infty = 18$

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Answer 2

Answer:

θ = 18

Step-by-step explanation:

Sin 2θ = cos 3θ

sin 2θ = sin (90 - 3θ)

2θ = 90 - 3θ

2θ + 3θ = 90

5θ = 90

θ = 18

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