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Radians & Degrees

Trig. Definitions using {x, y, r}

Trig. Definitions using Unit Circle

Trig. Functions & Graphs

Transformations

Trig. Identities

Trig. Equations

Summary&Test

 

jdsmathnotes

 


 UNIT 7  :  TRIGONOMETRIC FUNCTIONS

 LESSON 6 :  TRIGONOMETRIC IDENTITIES  HOMEWORK QUESTIONS

 

 

Quick Review:

 

Basic Trigonometric Identities :

 

                                                            

 

 

 


 


 

Text Box: Strategies for Proving Trig. Identities
1	Start with the most complex side.  You may, however work on either side.
2	Change any tan x or cot x expression to sin x and cos x using the quotient identities.
3	Change any sec x or csc x expression to sin x and cos x using the reciprocal identities.
4	Simplify algebraically using expanding or factoring where appropriate
5	Use rules of fractions where needed – common denominators, multiplication and division rules for fractions.
6	If sin2x or cos2x etc.  occurs, use the Pythagorean identities if they simplify the expression.
This should be done if the number 1 occurs with the squared expression.
 

 

 

 

 

 

 

 

 

 

 

 

 

 


Homework Questions:

1.  Prove each of the following identities.

 

2.  Prove each of the following identities.

 

 

3.  Prove each of the following identities.

 

 

Solutions:

 

Proof:

 

Proof:

                       

Proof:

 

 

 

 

Proof:

 

 

Proof:

 

Proof:

 

Proof:

 

 

 

Proof:

 

 

Proof:

 

 

 

Proof:

 

Proof:

 

Proof:

 

Proof:

 

 

 

Proof:

 

Proof:

 

Proof:

 

 

 

 

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