Question

prove that 1+tan square theta cos square theta =1

Answer 1

1+tan^2theta = sec^2theta
as we know sec× cos = 1 SO.
sec^2theta ×cos^2theta = 1

hope this helps you ..☺☺

Answer 2

Solution:

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To prove:

1 + tan²θ x cos²θ = 1

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Proof :

LHS = 1 +tan²θ x cos²θ
         = (sec²θ) x cos²θ
         =(1/cos²θ) x cos²θ
         = 1 = RHS

             ∴ Hence proved,
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                                  Hope it Helps!!