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Mathematics

If cos 62° 40' = x, the value of 1 + sin2 27° 20' is :

  1. 1 + x2

  2. 1 - x2

  3. x2 - 1

  4. 1 + x

Trigonometric Identities

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Answer

Given,

⇒ cos 62° 40' = x

⇒ cos (90° - 27° 20') = x

⇒ sin 27° 20' = x

Substituting value of sin 27° 20' in 1 + sin2 27° 20', we get :

⇒ 1 + sin2 27° 20' = 1 + x2.

Hence, Option 1 is the correct option.

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