Question

3 sin² 45° + 2 cos² 60° + cot² 30°

विकल्प

• 1

• 2

• 3

• 5

Answer 1

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`