Trigonometric equations of the form a &#x22C5;<!-- ⋅ --> sin &#x2061;<!-- ⁡ --> (

Anahi Jensen

Anahi Jensen

Answered question

2022-05-26

Trigonometric equations of the form a sin ( x + k ) = b cos ( x k )

Answer & Explanation

losing2mema

losing2mema

Beginner2022-05-27Added 7 answers

Hint. Use the sine-of-a-sum and cosine-of-a-sum formulae to expand, collect terms to get
A sin x + B cos x = 0
for some constants A,B. Rearranging,
tan x = B A   .
You will have to be careful if any coefficients turn out to be zero. I'm sure you can fill in the details for yourself.

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