trigonometric equations

Sin8x+Cos8x=17/32.
find the general solution for x.

1 Answers

1357
Manish Shankar ·

(1-cos2x2)4+(1+cos2x2)4=17/32

(1-cos2x)4+(1+cos2x)4=17/2

2(1+6cos22x+cos42x)=17/2

4+24cos22x+4cos42x=17

4cos42x+24cos2x+13=0

4cos42x+26cos2x-2cos2x+13=0

(2cos22x+13)(2cos22x-1)=0

proceed from here

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