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If \( \Large tan \ \theta \) = 3/4 and \( \Large \theta \) is acute, then what is the value of \( \Large sin \ \theta \)?

A) \( \Large -\frac{3}{5} \)
B) \( \Large \frac{3}{5} \)
C) \( \Large \frac{4}{5} \)
D) \( \Large -\frac{4}{5} \)

Correct Answer:


B) \( \Large \frac{3}{5} \)

Description for Correct answer:

Given that, \( \Large tan \theta =\frac{P}{B}=\frac{3}{4} \) and

\( \Large 0 ^{\circ} <0<90 ^{\circ} \) (acute)

In \( \Large \triangle ABC \),

By, Pythagoras theorem

\( \Large BC^{2}=AC^{2}+AB^{2} \)

= 9 + 16 = 25

BC = 5

\( \Large sin \theta =\frac{P}{H}=\frac{3}{5} \)

Part of solved Trigonometry questions and answers : >> Elementary Mathematics >> Trigonometry

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