Question

if sin theta=x then find tab theta​

Answer 1

tan theta will be equal to

$\frac{x}{ \sqrt{1 - x {}^{2} } }$

Answer 2

$\bold{sin \theta = x}$

$\longrightarrow \: {sin}^{2} \theta \: = {x}^{2}$

$\longrightarrow \:1 - {cos}^{2} \theta \: = {x}^{2}$

$\longrightarrow \: {cos}^{2} \theta \: = 1 - {x}^{2}$

$\longrightarrow \: cos \theta \: = \sqrt{1 - {x}^{2} }$

$\bold{now} \\ \frac{sin \theta}{cos \theta} = \frac{x}{ \sqrt{1 - {x}^{2} } }$

$\bold{Hance,} \\ \boxed {\mathfrak{{tan \theta} = \frac{x}{ \sqrt{1 - {x}^{2} } }}}$