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AP EAMCET20224 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

1 + sec 2 x sin 2 x =

Options

  1. Asin 2 x
  2. Bsin 2 x
  3. Ctan 2 x
  4. Dsec 2 x

Correct answer

D. sec 2 x

Step-by-step solution

Let f x = 1 + sec 2 x sin 2 x ⇒ f x = 1 + sin 2 x cos 2 x ∵ sec x = 1 cos x ⇒ f x = 1 + tan 2 x ∵ tan x = sin x cos x ⇒ f x = sec 2 x

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