Finding all six trig functions

When given the point in ( , ) form, there are a few things to remember when finding all six trig functions:

* Don't assume…make sure you know which quadrant the point is supposed to be in.

* sin, cos, tan, csc, sec, and cot all need to be found.

* if it helps, graph the point on a coordinate plane. this will help when figuring it out

* Also, it helps to know the Pythagorean Triplets( 3-4-5, 5-12-13, 7-24-25, etc…) so you don't have to solve. (Good ACT tip if i may so!)

sin= y/r csc= r/y

cos= x/r sec= r/x

tan= y/x cot= x/y

Ex: 1 Find all six trig functions for the point (-3,4)

First I'm going to determine what quadrant this is supposed to be in by graphing it. It is in quadrant II. Therefore, x is negative and y is positive.

(by the way, r is always positive.)

sin= 4/5 csc= 5/4

cos= -3/5 sec= -5/3

tan= -4/3 cot= -3/4

-Sameer