twins by luana

The Double Angle Identities

Proofs of the Sum and Difference Identities ...

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

Proofs of the Sum and Difference Identities ...

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

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.

A Quiz

PICT0015 by matt-hieu ergosteur

1. Simplify each of the following.

2. Prove each of the following identities.

Now back to our regularly scheduled programming ...

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The Double Angle Identities ...

The Double Angle Identities ...