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AP EAMCET20225 Jul 2022Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If + cosec =4 , then ^2 + cosec ^2 =

Options

  1. A12
  2. B18
  3. C16
  4. D14

Correct answer

D. 14

Step-by-step solution

We have, + cosec =4 1 cosec + cosec =4 Squaring both sides, 1 cosec ^2 + cosec ^2 +2=16 ^2 + cosec ^2 =16-2=14

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