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AP EAMCET · Maths · Trigonometric Ratios & Identities

If sinhu=tanθ, then coshu is equal to

  1. A secθ
  2. B secθ
  3. C sinθ
  4. D cotθ
Verified Solution

Answer & Solution

Correct Answer

(B) secθ

Step-by-step Solution

Detailed explanation

We know that, cosh2x-sinh2x=1 Given, sinhu=tanθ ⇒cosh2u-tan2θ=1 ⇒cosh2u=1+tan2θ=sec2θ ⇒coshu=secθ