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Question
3 sin2 45° + 2 cos2 60° + cot2 30°
Options
1
2
3
5
MCQ
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Solution
5
Explanation:
sin 45° = `1/sqrt2 = sin^2 = 1/2 = 3 ⋅ 1/2 = 3/2`
cos 60° = `1/2 = cos^2 = 1/4 = 2 ⋅ 1/4 = 1/2`
cot 30° = `sqrt3 = (sqrt3)^2 = 3`
= `3/2 + 1/2 + 3 = 2 + 3 = 5`
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