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15.2 Verifying Trig IdentitiesSlide2

Verifying trig identities algebraically involves

transforming one side

of the equation into the same form as the other side using basic trig identities and properties of algebra. Slide3

Procedure for Verifying Trig Identities

1. Draw

a vertical line below the equal sign in the equation.

2. Determine

which side of the identity to change (usually the more complicated side)

3. Use

fundamental trig identities and algebraic properties to change the chosen side into the other. Slide4

Suggestions/Strategies for Verifying

Start with the more complicated side – you are trying to get it to match the simpler side

Get a common denominator

Substitute one or more basic trig functions

i.e. you see a 1 and you can replace it with

Factor or multiply to simplify expressionsi.e. Multiply expression by an expression of 1Remember the fancy form of 1, or Express all trig functions in terms of sine and cosinei.e. you see and you replace it with Slide5

Remember

, there are

many

different ways to transform the equations so there isn’t necessarily one right way to simplify!Slide6

Review of the Pythagorean Identities

Write

four

different ways:Slide7

Write

two

different ways Slide8

Write

two

different waysSlide9

Verify the identity

.

1. Slide10

Verify the identity

.

2

. Slide11

Verify the identity

.

3

. Slide12

Verify the identity

.

4

. Slide13

Verify the identity

.

5

. Slide14

Verify the identity

.

6

.

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Verifying trig identities algebraically involves transforming one side of the equation into the same form as the other side using basic trig identities and properties of algebra Procedure for Verifying Trig Identities ID: 587300 Download Presentation

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