Question

If 5cos x +12 sin x =13
Find sin x.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

$5\cos x+12\sin x=13$

To find : $\sin x=?$

Solution:

As we know that

$\sin^2 x+\cos^2 x=1$ -------------------(1)

So, we divide the both sides by 13, we get that

$\dfrac{5}{13}\cos x+\dfrac{12}{13}\sin x=1$--------------------(2)

So, comparing  (1) and (2) , we get :

$\sin x=\dfrac{12}{13}$

Hence, the required value is $\sin x=\dfrac{12}{13}$