Question

If $24\tan \theta =7$ then find (i) $\sin \theta$ (ii) $\cos \theta$.

Answer 1

Given that:

$24\tan \theta =7$

To find:

$\sin \theta =?,\cos \theta =?$

Solution:

$24\tan \theta =7$

or, $\tan \theta =\frac{7}{24}$

Here, $p=7,b=24$

So, $h=\sqrt{p^2+b^2}=\sqrt{7^2+{24}^2}=\sqrt{625}=25$

(i) $\sin \theta =\frac{p}{h}=\frac{7}{25}$

(ii) $\cos \theta =\frac{b}{h}=\frac{24}{25}$