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8. Introduction to Trigonometry
easy
State whether the following are true or false. Justify your answer.
The value of $\sin \theta$ increases as $\theta$ increases.
Option A
Option B
Option C
Option D
Solution
The value of $\sin \theta$ increases as $\theta$ increases in the interval of $0^{\circ}<\theta<90^{\circ}$ as
$\sin 0^{\circ}=0$
$\sin 30^{\circ}=\frac{1}{2}=0.5$
$\sin 45^{\circ}=\frac{1}{\sqrt{2}}=0.707$
$\sin 60^{\circ}=\frac{\sqrt{3}}{2}=0.866$
$\sin 90^{\circ}=1$
Hence, the given statement is true.
Standard 10
Mathematics