Question

(3 cos square 60 degree + 2 cos square 30 degree minus 5 sin square 45 degree) solve

Answer 1

Answer:

$\frac{ - 1}{4}$

Step-by-step explanation:

$3 {cos}^{2}60 + 2 {cos}^{2}30 - 5 {sin}^{2}45$

$= 3 (\frac{1}{2})^{2} + 2( \frac{ \sqrt{3} }{ 2 } )^{2} - 5( \frac{1}{\sqrt{2} } ) {}^{2}$

$= \frac{3}{4} + \frac{3}{2} - \frac{5}{2}$

$= \frac{3 + 6 - 10}{4}$

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

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