Exact value of tan 5pi/12

Step-by-step explanation:

Tangent Half Angle

Given an angle θ, then:

We are required to find:

But it cannot be found in tables of main angles. We can use the angle

And use the formula above to find the required operation. Hence:

Operating:

Simplifying:

Rationalizing:

Finally:

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb