Question

Prove the following

cos² θ (1 + tan² θ) = 1​

Answer 1

Step-by-step explanation:

L.H.S = cos² θ (1 + tan² θ)

L.H.S = cos² θ (1 + tan² θ) = cos² θ (sec² θ) [since (1 + tan² θ) = sec² θ]

= cos² θ (1/cos² θ)

= 1

R.H.S = 1

L.H.S = R.H.S = 1

Hence Proved

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