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 – sin θ) × 
= 
= 
= 1
= R.H.S.
Hence, proved.
7
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 – sin θ) ×
=
=
= 1
= R.H.S.
Hence, proved.