If tan theta = frac{{ - 4}}{3}, then sin thet | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(b) Since ${m{cose}}{{m{c}}^2}	heta = 1 + {\cot ^2}	heta = 1 + \frac{9}{{16}} = \frac{{25}}{{16}}$

$\left( \because   {	an 	heta&

Vedclass · Accepted Answer

$-4/5 $ or $4/5$

Vedclass · Answer

(b) Since ${m{cose}}{{m{c}}^2}	heta = 1 + {\cot ^2}	heta = 1 + \frac{9}{{16}} = \frac{{25}}{{16}}$

$\left( \because   {	an 	heta  =  - \frac{4}{3}} ight)$

${\sin ^2}	heta = \frac{1}{{{m{cose}}{{m{c}}^2}	heta }} = \frac{{16}}{{25}} $

$\Rightarrow \sin 	heta = \pm \frac{4}{5},$ 

Both the values are acceptable, since $	an 	heta = - \frac{4}{3}\,\,$ 

$\,i.e.,	heta $ lies in ${2^{nd}}$ or ${4^{th}}$ quadrant.

If $\tan \theta = \frac{{ - 4}}{3},$ then $\sin \theta = $

Similar Questions

Prove that $\frac{\cos (\pi+x) \cos (-x)}{\sin (\pi-x) \cos \left(\frac{\pi}{2}+x\right)}=\cot ^{2} x$

If $\tan \theta = \frac{{20}}{{21}},$ cos$\theta$ will be

Find the degree measures corresponding to the following radian measures ( Use $\pi=\frac{22}{7}$ ).

$\frac{7 \pi}{6}$

Find the value of $\sin \frac{31 \pi}{3}$.

If $\sin x = \frac{{ - 24}}{{25}},$ then the value of $\tan \, x$ is