If sec theta-tan theta = root 2 * tan theta, then show that sec theta + tan theta= root 2 - Maths - Introduction to Trigonometry

Question

If sec theta-tan theta = root 2 * tan theta, then show that sec
theta + tan theta= root 2 sec theta

Anuradha Sharma · Accepted Answer

We know that sec2θ-tan2θ= 1So secθ+tanθ= 1secθ-tanθ=12tanθ=22cotθSo please recheck the RHS
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If sec theta-tan theta = root 2 * tan theta, then show that sec theta + tan theta= root 2 sec theta