Question

prove that, LHS = RHS.


plz help guys ☺️​

Answer 1

SOLUTION

TRIGONOMETRY

The branch of math which deals with the relation between the sides and the angles is known as TRIGONOMETRY.

$\sec \alpha = \frac{1}{ \cos \alpha } \\ \\ \csc \alpha = \frac{1}{ \sin\alpha } \\ \\ \sqrt{ {sec}^{2} \alpha + {csc}^{2} \alpha } \\ \sqrt{ \frac{1}{ {cos}^{2} \alpha } + \frac{1}{ {sin}^{2} \alpha } } \\ \\ \sqrt{ \frac{ {sin}^{2} \alpha + {cos}^{2} \alpha }{ {sin}^{2} \alpha {cos}^{2} \alpha } } \\ \\ \frac{1}{ \sqrt{ {sin}^{2} \alpha { \cos }^{2} \alpha } } \\ \\ \frac{1}{ \sin \alpha \times \cos \alpha } = \sec \alpha \csc \alpha$