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Keenan Santos 2022-07-10 Answered
Proving sin x 1 sin x sin x 1 + sin x 2 tan 2 x
What I have done so far is expanded them:
sin x ( 1 + sin x ) ( 1 sin x ) ( 1 + sin x ) sin x ( 1 sin x ) ( 1 + sin x ) ( 1 sin x )
So therefore:
sin x + sin 2 x 1 sin 2 x sin x sin 2 x 1 sin 2 x
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Answers (2)

Karissa Macdonald
Answered 2022-07-11 Author has 12 answers
Hint: Simplify the original expression, You get cos 2 ( x ) in denominator and 2 sin 2 ( x ) in numerator:
By cross multiplying, you get
sin x + sin 2 x sin x + sin 2 x 1 sin 2 x = 2 sin 2 x 1 sin 2 x
Now use
1 sin 2 x = cos 2 x
to get the answer.
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Lorena Beard
Answered 2022-07-12 Author has 2 answers
You have
sin x 1 sin x sin x 1 + sin x = sin x + sin 2 x 1 sin 2 x sin x sin 2 x 1 sin 2 x
Then, use that B A C A = B C A to get
sin x + sin 2 x ( sin x sin 2 x ) 1 sin 2 x = 2 sin 2 x 1 sin 2 x
Now use 1 sin 2 x = cos 2 x
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