Solving sin ⁡ ( 2 v ) + sin ⁡ ( 40 ∘ ) sin...

Crystal Wheeler

Crystal Wheeler

Answered

2022-07-03

Solving sin ( 2 v ) + sin ( 40 ) sin ( 40 2 v ) = 3

Answer & Explanation

jugf5

jugf5

Expert

2022-07-04Added 18 answers

HINT:
Using Prosthaphaeresis Formula ( sin C + sin D ),
2 sin ( v + 20 ) cos ( v 20 ) = 3 2 sin ( v 20 ) cos ( v 20 )
2 cos ( v 20 ) { sin ( v + 20 ) + 3 sin ( v 20 ) } = 0
So, either cos ( v 20 ) = 0 or sin ( v + 20 ) + 3 sin ( v 20 ) = 0
But cos ( v 20 ) = 0 will make the left hand side of the given expression
0 0
Finally use
sin ( A ± B )
formula

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