Mathematics

Mathematics

Problem

If sin⁡4x2+cos⁡4x3=15\frac{\sin^4 x}{2} + \frac{\cos^4 x}{3} = \frac{1}{5} , then a. tan⁡2x=23\tan^2 x = \frac{2}{3} b. sin⁡8x8+cos⁡8x27=1125\frac{\sin^8 x}{8} + \frac{\cos^8 x}{27} = \frac{1}{125} c. tan⁡2x=13\tan^2 x = \frac{1}{3} d. sin⁡8x8+cos⁡8x27=2125\frac{\sin^8 x}{8} + \frac{\cos^8 x}{27} = \frac{2}{125}

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