Question

4(sin⁴ 30° +cos⁴ 60°)-3(cos² 45°-sin²90°)=4​

Answer 1

refer to the attachment for the solution

Answer 2

Answer:

LHS is not equal to RHS

Step by step explanation:

$(sin {}^{4} 30 \: + \cos ^{4} 60) - 3( \cos ^{2} 45 - \sin ^{2} 90) = 4$

$4(( \frac{1}{2} )^{4} + ( \frac{1}{2} ) ^{4} ) - 3( \frac{1}{ \sqrt{2} } ) ^{2} + (1) ^{4} )$

$4( \frac{1}{16} + \frac{1}{16}) - 3( \frac{1}{2} - 1)$

$\frac{4 \times 2}{16} + 3 \times \frac{1}{2}$

$\frac{8}{16} + \frac{3}{2}$

$\frac{8 + 24}{16}$

$= \frac{32}{16} = 2$

therefore, LHS is not equal to RHS..

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