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Question: 3sin<sup>–1</sup>\(\frac{2x}{1 + x^{2}}\) – 4cos<sup>–1</sup>\(\frac{1–x^{2}}{1 + x^{2}}\) + 2tan<su...

3sin–12x1+x2\frac{2x}{1 + x^{2}} – 4cos–11–x21+x2\frac{1–x^{2}}{1 + x^{2}} + 2tan–12x1–x2\frac{2x}{1–x^{2}}= π3\frac{\pi}{3} then principal x =

A

3\sqrt{3}

B

13\frac{1}{\sqrt{3}}

C

1

D

None of these

Answer

13\frac{1}{\sqrt{3}}

Explanation

Solution

Put x = tan q solution = 13\frac{1}{\sqrt{3}}