Question

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

Answer 1

tan theta = sin theta/ cos theta

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

= sqrt (3)/2 * 2/1

sqrt(3)

Answer 2

We know:

`\tan\Theta=(\sin\Theta)/(\cos\Theta)`

We have:

`\sin\Theta=(\sqrt3)/(2),\ \cos\Theta=(1)/(2)`

Substitute:

`\tan\Theta=((\sqrt3)/(2))/((1)/(2))=(\sqrt3)/(2):(1)/(2)=(\sqrt3)/(2)\cdot(2)/(1)=\sqrt3`

Answer: a. √3