25 October 2012

Trigonometry Series (Part 2)

There are several important angles which are often found very useful when working with trigonometric functions. Let's take a look at these:


(From: http://www.analyzemath.com)

In the table 'U' means that it is undefined, since we cannot divide by zero.

Remember the relationship between sin and cosec, cos and sec, tan and cot, then you'll see how to use this table for all six functions.

There are two important triangles that we can make use of to easily calculate these "speccial" angles:






(From: http://prepfortests.com)


Also, we can make use of the unit circle to calculate some other special angles:

 (From: http://etc.usf.edu)

In conclusion, knowing the two triangles and the unit circles gives you all the information of the table and then you never need to remember the values of any angles.

Next time we take a look at some identities and laws.

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