Your Turn: sec θ + tan θ = p

Introduction to Trigonometry

Your Turn: sec θ + tan θ = p

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 6

The problem

If sec⁡θ+tan⁡θ=p,\sec\theta + \tan\theta = p, prove that sin⁡θ=p2−1p2+1.\sin\theta = \dfrac{p^2 - 1}{p^2 + 1}.

Step 1 · Your move

What is (sec⁡θ+tan⁡θ)(sec⁡θ−tan⁡θ)(\sec\theta + \tan\theta)(\sec\theta - \tan\theta)?

sec⁡θ+tan⁡θ=p\sec\theta + \tan\theta = p
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