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MHT CET202020 Oct 2020Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x+ cosec x=3 , then value of ⁴ x+ cosec ⁴ x is

Options

  1. A74
  2. B47
  3. C07
  4. D49

Correct answer

B. 47

Step-by-step solution

We have x+ cosec x=3 ² x+ cosec ² x+2 x cosec x=9 ² x+ cosec ² x=9-2=7 ⁴ x+ cosec ⁴ x+2 ² x cosec ² x=49 ⁴ x+ cosec ⁴ x=49-2=47

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