Question 1

How to solve this???

Question 2

$\large\sf{\sqrt{(1+sin\theta)/(1-sin\theta)}+\sqrt{(1-sin\theta)/(1+sin\theta)}}$

$\\$

$\large \sf{=(\left(√(1+sin\theta)\right)^(2)+\left(√(1-sin\theta)\right)^(2))/(√((1-sin\theta)(1+sin\theta)))}$

$\\$

$\large\sf{=\frac{1-sin\theta+1+sin\theta}{\sqrt{1^(2)-sin^(2)\theta}}}$

$\\$

$\large \sf{=\frac{2}{\sqrt{cos^(2)\theta}}}$

$\\$

$\large\sf{= (2)/(cos\theta)}$

$\\$

$\large\sf{= 2sec\theta}$

$\\$

$\large\sf{=RHS}$

Therefore,

$\large\sf\red{\sqrt{(1+sin\theta)/(1-sin\theta)}+\sqrt{(1-sin\theta)/(1+sin\theta)}=2sec\theta}$

Please log in or register to add a comment.

Please log in or register to answer this question.