Pre-Cal 40S Slides October 26, 2007

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Finish proving the angle sum and difference identities ... exercises.

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Proofs of the Sum and Difference Identities ...

Rotate ∠ROP so that OP lies on the positive x-axis

O O

Proofs of the Sum and Difference Identities ...

Rotate ∠ROP so that OP lies on the positive x-axis

O O

Recall the Even and Odd Identities

sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)

The sine and tangent functions are ODD functions. Cosine is an EVEN function.

Recall the Even and Odd Identities

sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)

The sine and tangent functions are ODD functions. Cosine is an EVEN function.

Now back to our regularly scheduled programming ...

How would you show this ...

How would you show this ...

Recall the Even and Odd Identities

sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)

The sine and tangent functions are ODD functions. Cosine is an EVEN function.

Given: With and

Find

Given: With and

Find

Prove the following identity ...

Prove: