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Range of Trigonometric Ratios from 0 to 90 Degrees

If sin x = ...

Question

If $sin x = cos y$ and both the angles $x$ and $y$ are acute, then find the value of $x + y$ .
Where, $x, y$ are in degrees.

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Solution

$sin x = cos y$
$cos (90 - x) = cos y$
$90 - x = y$
$x + y = 90^{\circ}$

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