Question

If sin theta = root 3 cos theta . Then find the value of cos theta _sin theta

Answer 1

sin theta =root 3 cos theta
sin theta by cos theta = root3
tan theta =root3
theta=60degree
sin theta =sin 60=root 3 by 2
cos 60=1/2

Answer 2

Answer:

$cos \theta = cos 60 =\frac{1}{2}$

$sin  \theta = sin  60 =\frac{\sqrt{3}}{2}$

Step-by-step explanation:

Given : $sin \theta = \sqrt{3} cos \theta$

To Find : $cos \theta$and $sin \theta$

Solution :

$\frac{sin \theta}{Cos \theta} = \sqrt{3}$

$tan \theta = \sqrt{3}$

$\theta = tan^{-1}\sqrt{3}$

$\theta =60$

$cos \theta = cos 60 =\frac{1}{2}$

$sin  \theta = sin  60 =\frac{\sqrt{3}}{2}$