Question

In figure, mark the true statement(s).
I. $\sin x=\frac{3}{5}$
II. $\tan y=\tan r$
III. $\cos x=\sin x$

• A. I only
• B. III only
• C. I and II only
• D. I and III only
• E. I, II and III

Answer 1

The correct option is A I only

From the figure we can see that
$\cos x=\frac{4}{5}$ , which implies
$\sin x=\sqrt{1-\frac{16}{25}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$

$\tan y=\cot r$

$\cos x=\frac{4}{5}\ne \sin x$
So the correct answer is $A$