Trigonometric reviewInvestigation

Unit Circle- A circle where the center is at the origin and the radius is 1 unit.

Therefore:

Using the graph and the trig ratios we can see that:

Note this is not in your formula booklet. You need to be familiar with them.

Reciprocal functions:

What are the ranges for the reciprocal functions?

(Not in booklet)

We know that the sin 0=0 and that the sin 2π=0. Since we are working with a circle then we know that sin(2π+k )=0 where k∈Z and so we can say:

Example 1: Find the following: sin 210, , .

Example 2: Given that and , find

3. Given that , where , find:

a) b) c)

Example 4:

Example 5:

Example 6:

Given the compound identities:

Find tan (A+B) and tan(A−B):

Therefore we can say that:

Example 7:

Example 8:

Example 9:

Example 10: If find ,

Example 11: Prove the following:

Example 12:

Extra:

P397

P400

P402