If $$sin4$$⁡$$x2+cos4$$⁡$$x3=15$$ then

Correct option is 2sin8⁡x8+cos8⁡x27=1125

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If $\frac{\sin^{4} x}{2} + \frac{\cos^{4} x}{3} = \frac{1}{5}$ then

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tan2⁡x+43

sin8⁡x8+cos8⁡x27=1125

tan2⁡x=13

sin8⁡x8+cos8⁡x27=2125

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detailed solution

Correct option is B

we have , sin4⁡x2+cos4⁡x3=15sin4⁡x2+1−sin2⁡x23=153sin4⁡x+21−sin2⁡x2=6525sin4⁡x−20sin2⁡x+4=0sin2⁡x=25cos2⁡x=3/5tan2⁡x=2/3sin8⁡x8+cos8⁡x27=(2/5)48+(3/5)427=2625+3625=5625=1125

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If sin4⁡x2+cos4⁡x3=15 then

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If $\frac{\sin^{4} x}{2} + \frac{\cos^{4} x}{3} = \frac{1}{5}$ then