In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

asked Dec 17, 2021 188k views

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2 votes

Answer:

$x=15^\circ$

Explanation:

In a right triangle:

$\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)$

Therefore, given:

$Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ$

Aj Entity answered Dec 23, 2021

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