Question

Evaluate 2 cos 60° + 3 sin 45° -3 sin 30° + 2 cos 90%

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Answer 1

Answer:

$\frac{3\sqrt{2} - 1}{2}$

Step-by-step explanation:

we know value of cos60° = $\frac{1}{2}$ , sin45° = $\frac{1}{\sqrt{2} }$ , sin30° = $\frac{1}{2}$ and cos90° = 0

so we have:

= 2 cos 60° + 3 sin 45° -3 sin 30° + 2 cos 90°

= 2*(1/2) + 3*($\frac{1}{\sqrt{2} }$) - 3*(1/2) +2*0

= 1 + 3/($\sqrt{2}$) - 3/2

= $\frac{3\sqrt{2} - 1}{2}$

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