Question

If sintheta= costheta, then the value of cosectheta is​

Answer 1

$\huge\mathfrak\red{Answer}$

$\sin \alpha = \cos \alpha \\ \frac{sin \alpha }{ \cos \alpha } = 1 \\ \: we \: know \: that \: \frac{ \sin \alpha }{ \cos \alpha } = \tan \alpha \\ \tan \alpha = 1 \\ we \: also \: know \: that \: tan \alpha = \frac{1}{ \cot \alpha } \\ \frac{1}{ \cot \alpha } = 1 \\ \\ cot \alpha = 1 (squaring \: on \: both \: sides) \\ \\ {cot}^{2} \alpha = 1 \\ {cosec}^{2} \alpha - 1 = 1 \\ {cosec}^{2} \alpha = 2 \\cosec \alpha = + \sqrt{2} \: or \: - \sqrt{2}$

Answer 2

Answer:

$\csc( \alpha = 1 \div \sec(?) )$

hope before answer will help u lot