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
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Slide1
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
.