Question

5cos theta + 12sin theta = 13 find tan theta​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of $\tan \theta=\dfrac{5}{12}$

Step-by-step explanation:

Since we have given that

$5\cos \theta=12\sin \theta=13$

Dividing by 13 on both the sides, we get that

$\dfrac{5}{13}\sin \theta+\dfrac{12}{13}\cos \theta=1$

As we know that

$\sin^2\theta+\cos^2 \theta=1$

So, We get that

$\sin \theta=\dfrac{5}{13}\\\\\cos \theta=\dfrac{12}{13}$

So,  the value of $\tan \theta=\dfrac{\sin \theta}{\cos \theta}=\dfrac{5}{12}$

Hence, the value of $\tan \theta=\dfrac{5}{12}$