8. Introduction to Trigonometry
easy

State whether the following are true or false. Justify your answer.

$\sin \theta=\cos \theta$ for all values of $\theta$

Option A
Option B
Option C
Option D

Solution

$\sin \theta=\cos \theta$ for all values of $\theta$

This is true when $\theta=45^{\circ}$

As $\sin 45^{\circ}=\frac{1}{\sqrt{2}}$

$\cos 45^{\circ}=\frac{1}{\sqrt{2}}$

It is not true for all other values of $\theta$.

$\sin 30^{\circ}=\frac{1}{2}$ and   $\cos 30^{\circ}=\frac{\sqrt{3}}{2}$

Hence, the given statement is false.

Standard 10
Mathematics

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