**Q) **Prove that,

**Ans:** 2 methods to solve this question:

__1st Method:__

**LHS** =

=

Multiplying numerator & denominator by (sin θ + cos θ + 1), we get:

x

=

=

We know that sin^{2} θ + cos^{2} θ = 1

= =

= = **RHS ****Hence Proved!**

**2nd Method:**

**LHS** =

We know that, 1 + tan^{2 }θ = sec^{2 }θ

1 = sec^{2} θ – tan^{2 }θ

=

=

=

=

= tan θ + sec θ

=

= = **RHS ****Hence Proved!**