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Logan Wyatt

Logan Wyatt

Answered question

2022-07-07

If tan ( π 4 + y 2 ) = tan 3 ( π 4 + x 2 ),then prove that sin y = sin x ( 3 + sin 2 x ) ( 1 + 3 sin 2 x )

Answer & Explanation

Nirdaciw3

Nirdaciw3

Beginner2022-07-08Added 20 answers

Now using Weierstrass substitution,
cos ( π 2 + A ) = 1 tan 2 ( π 4 + A 2 ) 1 + tan 2 ( π 4 + A 2 )
As sin A = cos ( π 2 + A ) applying Componendo and Dividendo
tan 2 ( π 4 + A 2 ) = 1 + sin A 1 sin A
Replace the values of tan 2 ( π 4 + y 2 ) , tan 2 ( π 4 + x 2 ) in
tan 2 ( π 4 + y 2 ) = tan 6 ( π 4 + x 2 ) = { tan 2 ( π 4 + x 2 ) } 3
and apply Componendo and Dividendo

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