Question
Prove the identity: tan² θ + 1 = sec²
θSolution
ATQ, We know that sin² θ + cos² θ = 1 Dividing both sides by cos² θ, we get: (sin² θ / cos² θ) + (cos² θ / cos² θ) = 1 / cos² θ tan² θ + 1 = sec² θ
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