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Question

If sin-13x+sin-14x=π2, then x=


A

3

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B

5

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C

7

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D

11

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Solution

The correct option is B

5


Explanation for the correct option.

Given that, sin-13x+sin-14x=π2

Using identity, sin-1x+cos-1x=π2.
sin-13x=cos-14xsin-13x=sin-1x2-16x3x=x2-16x9=x2-16x2=25x=±5
Hence option B is correct.


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