Question

√1+sinthetha/√1-sinthethais equal to
solve​

Answer 1

$\sqrt{ \frac{1 - sin \: thetha}{1 + sin \: thetha} }$

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$\sqrt{ \frac{(1 - sin \: thetha) \: (1 - \: sin \: thetha)}{(1 + \: sin \: thetha) (1 - sin \: thetha)} }$

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$\sqrt{ \frac{(1 - sin \: thetha) {}^{2} }{1 - \: sin {}^{2} thetha} }$

$\frac{1 - \: sin \: thetha}{cos \: thetha}$

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➪

$\frac{1 }{cos \: thetha} - \frac{sin \: thetha}{cos \: thetha}$

➪ Sec thetha - tan thetha

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