part II Section 52b Lets start with this Prove the identity Setting up a difference of squares Pythagorean Identity Answer General Strategies III 1 Use the algebraic identity ID: 554015
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Slide1
Proving trigonometric identities, part II
Section
5.2bSlide2
Let’s start with this…Prove the identity:
Setting up a difference
of squares
Pythagorean
Identity
AnswerSlide3
General Strategies III1. Use the algebraic identity
to set up applications of the Pythagorean identities.
2. Always be mindful of the “target” expression, and
favor manipulations that bring you closer to your goal.
Sometimes it’s even helpful to work from
both
sides towards a common intermediate expression…Slide4
Working from Both SidesProve the identity:
Start on the LHS:
Not clear how to get
f
rom here to the RHS…
Instead, let’s bring the RHS to this expression!!!Slide5
Working from Both SidesProve the identity:
Simplifying the RHS:
We can now combine both parts for a complete proof.Slide6Slide7
A Plethora of Practice Problems
Prove the identity:Slide8
A Plethora of Practice Problems
Prove the identity:Slide9
A Plethora of Practice Problems
Prove the identity:Slide10
A Plethora of Practice Problems
Prove the identity: