pre-cal 40s march 26, 2009

13
cosbmw by marymactavish Sum and Difference Proofs (continued ...)

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Proofs of the sum and difference identities.

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Page 1: Pre-Cal 40S March 26, 2009

cosbmw by marymactavish

Sum and Difference Proofs (continued ...)

Page 2: Pre-Cal 40S March 26, 2009

A Quiz

PICT0015 by matt-hieu ergosteur

Page 3: Pre-Cal 40S March 26, 2009
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Proofs of the Sum and Difference Identities ...

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

O O

TO BE COMPLETED

Page 10: Pre-Cal 40S March 26, 2009

Proofs of the Sum and Difference Identities ...

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

O O

Page 11: Pre-Cal 40S March 26, 2009

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.

Page 12: Pre-Cal 40S March 26, 2009

Proofs of the Sum and Difference Identities ...

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

O

Page 13: Pre-Cal 40S March 26, 2009

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.