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
