Question

Can anyone tell me the answer of this?
Don't copy and past ,,
Best answer will be marked as BRAINLIST ​

Answer 1

$\frac{ \cosecθ + \cotθ }{ \cosecθ - \cotθ } = 4$

Answer 2

$\huge{\bold{ Solution}} \\ \\ {\red{\huge{\underline{\mathbb{Given}}}}} \\ \\5 cos \theta = 3 \\ cos \theta = \frac{3}{5} \\ \\ here \\ = \frac{cosec \theta + cot \theta}{cosec \theta - cot \theta} \\ \\ = \frac{ \frac{1}{sin \theta } + \frac{cos \theta}{sin \theta} }{ \frac{1}{sin \theta} - \frac{cos \theta}{sin \theta} } \\ \\ = \frac{ \frac{1 + cos \theta}{sin \theta} }{ \frac{1 - cos \theta}{sin \theta} } \\ \\ putting \: cos \theta = \frac{3}{5} \\ \\ = \frac{1 + \frac{3}{5} }{1 - \frac{3}{5} } \\ \\ = \frac{ \frac{5 + 3}{5} }{ \frac{5 - 3}{5} } \\ \\ = \frac{ \frac{8}{5} }{ \frac{2}{5} } \\ \\ = \frac{8}{2} \\ \\ = 4 \\ \\ \\ \huge{\blue{{\purple{\mathbb{ \frac{cosec \theta + cot \theta}{cosec \theta - cot \theta} = 4}}}}}$

hope its helpful ❤