Question

Find Tan Θ given sin Θ = √3/2 and cos Θ = 1/2 a √3 b 3 c 2 d 4

Answer 1

We know:

$\tan\Theta=\dfrac{\sin\Theta}{\cos\Theta}$

We have:

$\sin\Theta=\dfrac{\sqrt3}{2},\ \cos\Theta=\dfrac{1}{2}$

Substitute:

$\tan\Theta=\dfrac{\frac{\sqrt3}{2}}{\frac{1}{2}}=\dfrac{\sqrt3}{2}:\dfrac{1}{2}=\dfrac{\sqrt3}{2}\cdot\dfrac{2}{1}=\sqrt3$

Answer: a. √3

Answer 2

tan theta = sin theta/ cos theta

tan theta = sqrt (3)/2 divided by 1/2

               = sqrt (3)/2 * 2/1

              sqrt(3)