May be Trigo 2

Geometry Level 4

If sin⁡4xa+cos⁡4xb=1a+b {\frac{\sin^{4}x}{a}+\frac{\cos^{4}x}{b}=\frac{1}{a+b}} then

sin⁡8xa3+cos⁡8xb3=f(a,b){\frac{\sin^{8}x}{a^3}+\frac{\cos^{8}x}{b^{3}}}=f(a,b)

find f(1,1)f(1,1)

Tanishq Varshney by Tanishq Varshney
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