If ^ -1 x=a and ^ -1 (2x 1-x^2 )+ ^ -1 ( 1 2x^2-1 )= 2 3 , where 1 2 <x<1, then the value of ^ -1 (2x) (in degrees) is ____.

JEE Main Mathematics question

If and , where , then the value of (in degrees) is .

Answer: 60

With and , we have , so . Then and

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Question ID VK-008652