Question

solve this question urgent

Answer 1

formula used in this

1.sin^2+cos^2=1

2.1/cos=sec

Answer 2

SOLUTION ☺️

$l.h.s > \frac{1 + sin \theta}{cos \theta} + \frac{cos \theta}{1 + sin \theta} \\ \\ = > \frac{cos {}^{2} \theta + 1 + 2 \sin \theta + sin { {}^{2} \theta } }{(cos \theta)(1 + sin{} \theta)} .....(cos {}^{2} \theta + sin {}^{2} \theta = 1) \\ \\ = > \frac{(2 + 2sin \theta)}{(cos \theta)(1 + sin \theta)} \\ = > factor \: out \: a \: 2 \\ \\ = > \frac{2(1 + sin \theta)}{(cos \theta)(1 + sin \theta)} \\ \\ = > \frac{2}{cos \theta} \\ \\ = > \frac{1}{cos \theta } = sec \theta \\ \\ = > 2sec \theta \: \: r.h.s$

HOPE it helps ✔️