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Radians & Degrees

Angles in Standard Position Revisited

Trig. Functions & Graphs

Transformations

Trig. Identities

Trig. Equations

Summary&Test

LESSON 5:HOMEWORK QUESTIONS

 

jdsmathnotes

 

 


Quick Review:

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 expression to sin x and cos x using the quotient identity.
3.	Simplify algebraically using expanding or factoring where appropriate
4.	Use rules of fractions where needed – common denominators, multiplication and division rules for fractions.
5.	If sin2x or cos2x occurs, use the Pythagorean identities if they simplify the expression.
Basic Trigonometric Identities :

 

1.  Quotient Identity:

         

 

2.  Pythagorean Identities:

         

 

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:

 

Proof:

 

 

 

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