Prove each of the following identities:

Consider L.H.S. = ![]()
Multiply and divide by (1 + sin θ):
= ![]()
= ![]()
= ![]()
= (1 + sin θ)/cos θ
= (1/cos θ) + (sin θ/cos θ)
= sec θ + tan θ
= R.H.S.
Hence, proved.
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