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AP EAMCET201822 Apr 2018Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If y= cosec x and cosec y= x , then ^2 y=

Options

  1. A^2 x
  2. Bx
  3. C^2 x
  4. Dx

Correct answer

A. ^2 x

Step-by-step solution

Since, y= cosec x and cosec y= x If we square and add Eqs. (i) and (ii), array cc & 1= ^2 x ^2 y+ ^2 x ^2 y & ^2 x (1+ ^2 y )+ ^2 x ^2 y=1 & ^2 y+ ^2 x=1 & ^2 y=1- ^2 x= ^2 x array

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