Question

if Sin$\theta = \frac{3}{5}$then find the value of tan $\theta$

Answer 1

$\bold{\huge{Hay!!}}$


$\bold{Dear\:user!!}$



$\bold{\underline{Question-}}$

if Sin$\theta = \frac{3}{5}$then find the value of tan $\theta$



$\bold{\underline{Answer-}}$


$\bold{Your\:answer\:is\:3/4}$


$\bold{\underline{Explanation-}}$

$sin \theta \: = \frac{3}{5} \\ \\ \\ \\ tan \theta = \frac{sin \theta}{cos \theta} \\ \\ \\ = \frac{sin \theta}{ \sqrt{1 - {sin}^{2} \theta } } \\ \\ \\ = \frac{ \frac{3}{5} }{ \sqrt{1 - \frac{9}{25} } } \\ \\ \\ = \frac{ \frac{3}{5} }{ \sqrt{ \frac{16}{25} } } \\ \\ \\ = \frac{ \frac{3}{5} }{ \frac{4}{5} } \\ \\ \\ tan \theta = \frac{3}{4}$

Answer 2

Hey there !!


▶ Given :-

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

▶ To find :-

$\tan \theta \: .$



▶ Solution :-

We know that :-


$\bf \sf \sin \theta \: = \frac{perpendicular}{hypotenuse} .$
$\therefore \sf \sin \theta = \frac{3}{5} = \frac{p}{h} .$


Using Pythagoras theorem , find b ,

°•° b² = h² - p² .

=> b² = 5² - 3² .

=> b² = 25 - 9 .

=> b² = 16 .

=> b = √16 .

•°• b = 4 .


$\huge \sf \therefore \tan \theta = \frac{p}{b} = \boxed{ \pink{ \frac{3}{4} .}}$


✔✔ Hence, it is solved ✅✅.



THANKS


#BeBrainly.