Question

If cosec (3x-15 ​0 ) =2, then find x

Answer 1

cosec(3x-15°)=2
or, cosec(3x-15°)=cosec30°
or, 3x-15°=30°
or, 3x=30°+15°
or, 3x=45°
or, x=45°/3
or, x=15°

Answer 2

Answer:

The value of x=15.

Step-by-step explanation:

Given : Expression $\csc(3x-15^\circ)=2$

To find : The value of x?

Solution :

Expression $\csc(3x-15^\circ)=2$

We know that, $\csc(30^\circ)=2$

So, $\csc(3x-15^\circ)=\csc(30^\circ)$

Comparing the angles,

$3x-15=30$

$3x=30+15$

$3x=45$

$x=\frac{45}{3}$

$x=15$

Therefore, The value of x=15.