# How do you use the half angle formula to solve #Tan( θ/2) = Sin θ#?

##### 2 Answers

In

#### Explanation:

Use

Here,

So,

And so,

the other factor = 0 gives# tan^(theta/2)=1 to tan(theta/2)=+-1 to

theta/2=kpi+-pi/4#.

Combining both for values of

#### Explanation:

Use the trig identity

sin a = 2sin (a/2).cos (a/2)

Re-write the equation:

Simplify both sides by sin (t/2(, we get:

Trig table of special arcs, and trig unit circle give 4 solution arcs:

a.

Two solution arcs:

b.

Two solution arcs:

Answers for