Question

Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.

Options

• 0°

• 30°

• 60°

• 90°

Answer 1

Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is 90°.

Explanation:

Given,

sinα = `1/2` = sin30°   ...`[∵ sin 30^circ = 1/2]`

⇒ α = 30° 

And cosβ = `1/2` = cos60°   ...`[∵ 60^circ = 1/2]`

⇒ β = 60°

∴ α + β = 30° + 60° = 90°