Question

Sin theta = 3/5, then find the value of cosec theta -1

Answer 1

Step-by-step explanation:

sin theta=3/5

or, cosec theta is equals to 1/sin theta

so, cosec theta=5/3

cosec theta-2=5/3-1=2/3.....

I wish it may help you.

Answer 2

The value of $\csc \theta -1$ = $\dfrac{2}{3}$

Step-by-step explanation:

We have,

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

To find, the value of $\csc \theta -1$ = ?

∴ $\sin \theta =\dfrac{3}{5}$

We know that,

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

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

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

∴  The value of $\csc \theta -1$ = $\dfrac{5}{3} -1$

$= \dfrac{5-3}{3} = \dfrac{2}{3}$

Thus, the value of $\csc \theta -1$ = $\dfrac{2}{3}$