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Which of the following is equivalent to the

given expression? *
(1 + sin a/1 - sin a) - (1 – sin a/1 + sin a)

Which of the following is equivalent to the given expression? * (1 + sin a/1 - sin-example-1
User Adzm
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1 Answer

5 votes

Answer:

Solution given:


(1 + \sin( \alpha ) )/(1 - \sin( \alpha ) ) - (1 - \sin( \alpha ) )/(1 + \sin( \alpha ) )


\frac{(1 + \sin( \alpha )) {}^(2) - (1 - \sin( \alpha ) {}^(2) }{1 - \sin{}^(2) \alpha }


\frac{1 + 2 \sin( \alpha ) + \sin {}^(2) ( \alpha ) - 1 + 2 \sin( \alpha ) - \sin {}^(2) ( \alpha ) }{ { \cos }^(2) \alpha }


\frac{4 \sin( \alpha ) }{ \cos {}^(2)( \alpha ) }


4 \tan( \alpha ) \sec( \alpha )

is your answer.

User Kirill Strizhak
by
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