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The double angle identities.
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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.
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 ...