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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

If A and ...

Question

If $A$ and $B$ are acute angles and $sin A = cos B$ , then find the value of $A + B$ .

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Solution

We know $sin A = cos (90 - A)$
Given, $sin A = cos B$
$cos B = cos (90 - A)$
$\Rightarrow B = 90 - A \Rightarrow A + B = 90$
Hence, $A + B = 90$

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