Find all the solutions of the equation sin 5 </msup> &#x2061;<!-- ⁡ --> (

Bailee Short

Bailee Short

Answered question

2022-06-11

Find all the solutions of the equation sin 5 ( x ) + cos 3 ( x ) = 1.. I tried it and get ( 1 cos ( x ) ) ( sin 3 ( x ) cos 3 ( x ) cos 2 ( x ) 1 ) = 0 but I have no idea how to proceed from here. please help me to solve it.

Answer & Explanation

Josie123

Josie123

Beginner2022-06-12Added 16 answers

HINT:
sin 5 x sin 2 x , cos 3 x cos 2 x sin 5 x + cos 3 x sin 2 x + cos 2 x = 1
The equality occurs if sin 5 x = sin 2 x and cos 3 x = cos 2 x

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