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Question
Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is ______.
Options
0°
90°
30°
60°
Solution
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°
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