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Trig Functions of Real Numbers

Compound Angles (a +/- b)

Sum/Product Formulas

Double Angle Formulas

Trig. Equations

Inverse Trig. Functions

Summary&Test

 

jdsmathnotes

 


 UNIT 8  :  TRIGONOMETRIC FUNCTIONS

 LESSON 5:  SOLVING TRIGONOMETRIC EQUATIONS

 

Quick Review:

 

Angles in Standard Position using the Unit Circle:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Special Angles Table:

 

1

 

 

 

 

The CAST rule:

 

The CAST RULE is a memory aid which tells us the sign of the trig ratios in the various quadrants.

In the first quadrant ALL are positive.  This is denoted using the letter A.

In the second quadrant, SINE  is positive.  This is denoted by the letter S.

[ the other two ratios are negative ]

In the third quadrant, TANGENT  is positive.  This is denoted by the letter T.

[ the other two ratios are negative ]

In the fourth quadrant, COSINE  is positive.  This is denoted by the letter C.

[ the other two ratios are negative ].

 

 

 

 

 

 

 

 

The Unit Circle for Special Angles

 

 

 

 

 

 

 

Example 1:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                     

 

 

 

 

 

 

     

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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