If sin ⁡ x + sin ⁡ 2 x + sin ⁡ 3 x =...

anginih86

anginih86

Answered

2022-06-25

If sin x + sin 2 x + sin 3 x = sin y and cos x + cos 2 x + cos 3 x = cos y
(a) y
(b) y/2
(c) 2y
(d) y/6

Answer & Explanation

nuvolor8

nuvolor8

Expert

2022-06-26Added 32 answers

Hint:
sin ( x ) + sin 82 x ) + sin ( 3 x ) = sin ( 2 x ) ( 2 cos ( x ) + 1 ) = sin ( y )
cos ( x ) + cos ( 2 x ) + cos ( 3 x ) = cos ( 2 x ) ( 2 cos ( x ) + 1 ) = cos ( y )
from here you will get
tan ( 2 x ) = tan ( y )

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