If sin⁡−1(x2−x43+x69…… )+cos⁡−1\sin^{-1} \left( x^2 - \frac{x^4}{3} + \frac{x^6}{9} \dots \dots \right) + \cos^{-1}…

Mathematics

Problem

If sin⁡−1(x2−x43+x69…… )+cos⁡−1\sin^{-1} \left( x^2 - \frac{x^4}{3} + \frac{x^6}{9} \dots \dots \right) + \cos^{-1} (x4−x83+x129…… )=π2, where 0≤∣x∣<3, then number of\left( x^4 - \frac{x^8}{3} + \frac{x^{12}}{9} \dots \dots \right) = \frac{\pi}{2}, \text{ where } 0 \le |x| < \sqrt{3}, \text{ then number of} values of 'x' is equal to a. 1 b. 2 c. 3 d. 4

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