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Question

If 2sin-1x-cos-1x=π2, then x=


A

12

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B

-12

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C

32

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D

32

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Solution

The correct option is D

32


Explanation for the correct option:

Step 1. Find the value of x:

Given that, 2sin-1x-cos-1x=π2 …..(1)

As we know,

sin-1x+cos-1x=π2 ……(2)

Step 2. Add equation (1) and (2):

2sin-1x-cos-1x+sin-1x+cos-1x=π2+π2

3sin-1x=π

sin-1x=π3

x=sinπ3

x=32

Hence, Option ‘D’ is Correct.


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