Question

if 5 tan theta =12 find the values of cos theta and sin theta

Answer 1

Step-by-step explanation:

$5 \tan( \alpha ) = 12$

$\tan( \alpha ) = \frac{5}{12} = \frac{p}{b}$

Now, using Pythagorus theorem,

$h = \sqrt{ {p}^{2} + {b}^{2} }$

So, h=13

Therefore,

$\cos( \alpha ) = \frac{b}{h } = \frac{5}{13}$

And,

$\sin( \alpha ) = \frac{p}{h} = \frac{12}{13}$