Prove that tan &#x2061;<!-- ⁡ --> 5 &#x03B8;<!-- θ --> = 5 t

gledanju0

gledanju0

Answered question

2022-06-05

Prove that tan 5 θ = 5 tan θ 10 tan 3 θ + tan 5 θ 1 10 tan 2 θ + 5 tan 4 θ

Answer & Explanation

enfujahl

enfujahl

Beginner2022-06-06Added 20 answers

Hint:
cos 5 x + i sin 5 x = ( cos x + i sin x ) 5 =
cos 5 x 10 cos 3 x sin 2 x + 5 cos x sin 4 x + i ( 5 cos 4 x sin x 10 cos 2 x sin 3 x + sin 5 x )
De Moivre's formula

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