Complex Phobia 6

Geometry Level 3

cos ⁡ 6 x + sin ⁡ 6 x = m cos ⁡ 4 x + n \large \cos^6{x} + \sin^6{x} = m\cos{4x} + n

The above shows a trigonometric identity, where m m and n n are constants.

Find m + n m + n .

-1 0 1 -2 3 -3 -4 5

Krishna Shankar by Krishna Shankar , 23, India

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1 solution

Since, it is an identity, it must hold for all real x.Hence, substitute x=0 in the equation to get m+n=1.

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