Trigonometry! #143

Geometry Level 3

Find the general value of x x for the following equation. cos ⁡ 4 x + 4 sin ⁡ 4 x = 1 \cos^{4}x+4\sin^{4}x=1

This problem is part of the set Trigonometry .

2 n π ± π 4 2n\pi\pm\frac{\pi}{4} 2 n π 3 \frac{2n\pi}{3} n π ± sin ⁡ − 1 1 5 , n π n\pi\pm\sin^{-1}\sqrt{\frac{1}{5}},n\pi n π ± sin ⁡ − 1 2 5 , n π n\pi\pm\sin^{-1}\sqrt{\frac{2}{5}},n\pi

Omkar Kulkarni by Omkar Kulkarni , 22, India

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1 solution

Marvin Chong
Mar 9, 2020

Mainly used the Pythagoras identity to reach the solution. Mainly used the Pythagoras identity to reach the solution.

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