Question

3 sin^2 45° + 2 cos^2 60°
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Answer 1

Answer:

$3 { \sin}^{2}45 + 2 { \cos}^{2}60 \\ 3 \times {( \frac{1}{ \sqrt{2} }) }^{2} + 2 \times { (\frac{1}{2} )}^{2} \\ \frac{3}{2} + \frac{1}{2} = \frac{4}{2} = \boxed{ 2}$

2 is the right answer.

Answer 2

Step-by-step explanation:

3sin^2 45° +2cos^2 60°

=3×1/2 + 2×1/4 [ sin45°=1/route2 hence sin^245°=1/2

similarly cos60°=1/2 hence cos^2 60°=1/4 ]

=3/2 + 1/2

=3+1/2

=4/2

=2