Question

solve this question please

Answer 1

There is a mistake in the given problem... Exponent 2 is missing in the denominator on the LHS.

See the solution.
$X=\frac{1-cos\theta+sin\theta}{1+cos\theta+sin\theta}=\frac{2Sin^2 \frac{\theta}{2}+2 sin \frac{\theta}{2} Cos \frac{\theta}{2}}{2 Cos^2 \frac{\theta}{2}+2 sin \frac{\theta}{2} Cos \frac{\theta}{2}}\\\\=\frac{Sin \frac{\theta}{2}}{Cos \frac{\theta}{2}}\\\\\frac{1-cos\theta}{1+cos\theta}=\frac{2Sin^2 \frac{\theta}{2}}{2Cos^2 \frac{\theta}{2}}\\\\So \: \ X^2=LHS=RHS$