Gary collects stamps as a hobby. He gives his cousin 1/3 of his stamp collection. He then gives his sister 5/6 of the remainder and has 80 stamps left. How many stamps did he have at first?

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Ответ:

fatboi82

26.08.2020

Mathematics

Solution given:

$\frac{1 + \sin( \alpha ) }{1 - \sin( \alpha ) } - \frac{1 - \sin( \alpha ) }{1 + \sin( \alpha ) }$

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

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

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

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

is your answer.

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