The angle θ is in the first quadrant of the unit circle and tan(θ)= .since tan(θ)=[tex]\frac{sin(θ)}{cos(θ)}[/ tex] , does this mean that sin(θ)=8 and cos(θ)=15? if not, clearly explain and give the exact values of sin(θ) and cos(θ).

and .

Step-by-step explanation:

Given:

Angle lies in first quadrant.

Since, this does not mean that and  , because it is the ratio of the and which is not necessarily the exact values of them. And also and values lie between and so it cannot be .

In order to find the exact values, we need to find the exact angle.

So,

  As the angle lies in 1st quadrant.

Using the angle we can find the exact values for and .