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Question

If sin α=cos(90°β)=12 and 0°α,β90°, then find α+β.

A
90°
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B
60°
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C
45°
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D
30°
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Solution

The correct option is A 90°
Given, sin α=cos(90°β)=12 and 0°α,β90°

sin α=12 and cos(90°β)=12α=45° and 90°β=45°α=β=45°α+β=90°

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