Question

Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is ______.

विकल्प

• 0°

• 90°

• 30°

• 60°

Answer 1

Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is 90°.

Explanation:

sin α = `1/2`

sin 30° = `1/2`

∴ α = 30°

cos β = `1/2`

∴ β = 60°

∴ α + β = 30° + 60°

= 90°