Question

If sin theta =4/5 what is the value of cot 2 theta

Answer 1

${ \mathfrak{ \blue{given :sin \theta = \frac{4}{5} }}} \\ {\mathfrak{ \red{too \: find : cot {}^{2} \theta}}} \\ { \mathfrak{ \green{solve : so..cos \theta \: will \: be \: \frac{3}{5} }}} \\ {\mathfrak{ \green{so..cot {}^{2} t= \frac{cos {}^{2} \theta}{sin {}^{2} \theta} }}} \\ { \mathfrak{ \green{cot {}^{2} \theta = \frac{ (\frac{3}{5}) {}^{2} }{ (\frac{4}{2} ) {}^{2} } }}} \\ {\mathfrak{ \green{ \bold{cot {}^{2} \theta = \frac{ \frac{9}{25} }{ \frac{16}{25} } }}}} \\ \mathfrak{cot {}^{2} \theta \: = \frac{9}{16} }$

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