Im trying to prove the following equation: sin 6 </msup> &#x2061;<!-- ⁡ --> x =

Karina Trujillo

Karina Trujillo

Answered question

2022-06-07

Im trying to prove the following equation:
sin 6 x = 1 32 ( 10 15 cos 2 x + 6 cos 4 x cos 6 x )

Answer & Explanation

lilao8x

lilao8x

Beginner2022-06-08Added 22 answers

Recall that
sin t = e i t e i t 2 i
so (recalling that ( 2 i ) 6 = 64)
64 sin 6 x = e 6 i x 6 e 4 i x + 15 e 2 i x 20 + 15 e 2 i x 6 e 4 i x + e 6 i x
Since 2 cos t = e i t + e i t you should be able to finish up.

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