Solve for \theta, find all solutions. \csc3\theta=\sin3\theta

Rowan Huynh

Rowan Huynh

Answered question

2022-04-20

Solve for θ, find all solutions.
csc3θ=sin3θ

Answer & Explanation

Ciara Melton

Ciara Melton

Beginner2022-04-21Added 12 answers

We have
sin23θ=15=(15)2
Let, 15=sinα
sin23θ=sin2α
Now, writing the general solution for θ as follows
3θ=nπ±a
=mπ±sin1(15)
θ=nπ3±13sin1(15)
where, n is any integer.

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