Question

if sin theta is equal to 3 by 5 then the value of cosec theta​

Answer 1

Answer:

I believe the answer is 5 by 3 since cosec theta is the reciprocal of sin theta

Answer 2

The value of $\csc \theta$ is equal to $\dfrac{5}{3}$.

Step-by-step explanation:

We have,

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

To find, the value of $\csc \theta$ = ?

We know that,

∴ $\sin \theta=\dfrac{3}{5}$

$\sin \theta=\dfrac{3}{5}=\dfrac{p}{h}$

Where, p = perpendicular and h = hypotaneous

∴ $\csc \theta$ = $\dfrac{h}{p}$

= $\dfrac{5}{3}$

∴ The value of $\csc \theta$ = $\dfrac{5}{3}$

Second Method:

$\sin \theta\csc \theta=1$

⇒ $\csc \theta=\dfrac{1}{\sin \theta}$

⇒ $\csc \theta=\dfrac{1}{\dfrac{3}{5}}=\dfrac{5}{3}$

Thus, the value of $\csc \theta$ is equal to $\dfrac{5}{3}$.