Question

7. If sinx⁴-cosx⁴ =0, then find the value of sin x+ cos x.​

Answer 1

Answer -

sin x - cos x = 0 = x = 45°

sin⁴45° + cos⁴45°

$= ( \frac{1}{ \sqrt{2} } ) {}^{4 } + ( \frac{1}{ \sqrt{2} } ) {}^{4}$

$\frac{1}{4} + \frac{1}{4} = \frac{1}{2}$

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