If sinh u = tan θ , then cosh u is equal to

If sinhu=tanθ, then coshu is equal to
  1. −sec⁡θ
  2. sec⁡θ
  3. sin⁡θ
  4. cot⁡θ

Solution

We know that, cosh2x-sinh2x=1

Given, sinhu=tanθ

⇒cosh2u-tan2θ=1

⇒cosh2u=1+tan2θ=sec2θ

⇒coshu=secθ

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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