Question

if sin theta equal to 3 by 5 find the value of tan theta + sin theta whole square

Answer 1

$\sin\theta = \frac{3}{5}$

Or,

$\sin^{2} \theta = \frac{9}{25}$

We know that,

$\sin^{2} \theta + \cos^{2} \theta = 1$

Or,

$\cos^{2} \theta = 1 - \sin^{2} \theta$

$= 1 - \frac{9}{25}$

$= \frac{16}{25}$

Or,

$\cos\theta = \frac{4}{5}$

Now,

$\tan \theta = \frac{ \sin \theta}{ \cos \theta }$

$= \frac{\frac{3}{5} }{ \frac{4}{5} }$

$= \frac{3}{4}$

Now,

${ (\tan \theta + \sin \theta)}^{2}$

$= {( \frac{3}{4} + \frac{3}{5}) }^{2}$

$= {(\frac{(3 \times 5) + (3 \times 4)}{20})}^{2}$

$= (\frac{15 + 12}{20})^{2}$

$= \frac{27^{2} }{ {20}^{2} }$

$= \frac{729}{400}$

Hence, the answer is $\frac{729}{400}$

Answer 2

Answer:

Hii

Step-by-step explanation:

The answer for this question is in the above pic and please mark it as a brainlist answer