Question

Proove that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Answer 1

Answer:

Step-by-step explanation:

We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta ​

Starting from the left hand side of the expression:

1/1-sin theta + 1/1+cos theta

Find the LCM

$\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}$