Question

Fine the exact value. tan(60°)+tan(225°)

Answer 1

$1+ \sqrt{3}$
tangent 60 is √3 on the unit circle and tangent 225 is 1. So 1+√3 is the exact value of tan 60 plus tan 225

Answer 2

We need to find exact value of Tan 60+Tan 225°

We apply the reference angle by finding the angle with equivalent trigonometrical values in the first quadrant.

On the trig unit circle,

tan 225 = tan (45 + 180) = tan 45 = 1.

The exact value of tan(45) is 1.

The exact value of Tan 60° = $\sqrt{3}.$.

Substituting Tan225 and Tan60 values we have:

Tan 225°+Tan60°= 1+$\sqrt{3}.$