Question

4 cos^2 60 +4 sin^2 45-sin^2 30

Answer 1

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Answer 2

The correct answer is $\frac{11}{4}$.

Given: The equation = $4cos^{2} 60+4sin^{2} 45-sin^{2} 30$.

To Find: Simplify the equation.

Solution:

$4cos^{2} 60+4sin^{2} 45-sin^{2} 30$

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

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

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

= $3-\frac{1}{4}$

= $\frac{12-1}{4}$

= $\frac{11}{4}$

Hence, the answer is $\frac{11}{4}$.

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