Q7 of 186 Page 332

Prove each of the following identities:
sec θ(1 – sin θ)(sec θ + tan θ) = 1

Consider the left – hand side:

L.H.S. = sec θ(1 – sin θ)(sec θ + tan θ)

= × (1 – sin θ) ×

= 1

= R.H.S.

Hence, proved.

Prove each of the following identities:

sin θ (1 + tan θ) + cos θ (1+ cot θ) = (sec θ + cosec θ)

Prove each of the following identities:

Prove each of the following identities:sec θ(1 – sin θ)(sec θ + tan θ) = 1