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8. Introduction to Trigonometry
easy
State whether the following are true or false. Justify your answer.
The value of $\cos \theta$ increases as $\theta$ increases
Option A
Option B
Option C
Option D
Solution
$\cos 0^{\circ}=1$
$\cos 30^{\circ}=\frac{\sqrt{3}}{2}=0.866$
$\cos 45^{\circ}=\frac{1}{\sqrt{2}}=0.707$
$\cos 60^{\circ}=\frac{1}{2}=0.5$
$\cos 90^{\circ}=0$
It can be observed that the value of $\cos \theta$ does not increase in the interval of$0^{\circ}<\theta<90^{\circ}$
Hence, the given statement is false.
Standard 10
Mathematics
