Using the Sine and Cosine Addition Formulas to Prove Identities - Concept

Concept Concept (1)

:Applying the cosine addition and sine addition formulas proves the cofunction, add pi, and supplementary angle identities. Using the formulas, we see that sin(pi/2-x) = cos(x), cos(pi/2-x) = sin(x); that sin(x + pi) = -sin(x), cos(x + pi) = -cos(x); and that sin(pi-x) = sin(x), cos( -x) = -cos(x). The formulas also give the tangent of a difference formula, for tan(alpha-beta).

Sample Sample Problems (3)

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Using the Sine and Cosine Addition Formulas to Prove Identities - Problem 1
Problem 1
How to use the sine and cosine addition formulas to prove the "add pi" identities.
Using the Sine and Cosine Addition Formulas to Prove Identities - Problem 2
Problem 2
How to use the sine and cosine supplementary angle identities.
Using the Sine and Cosine Addition Formulas to Prove Identities - Problem 3
Problem 3
How to use the sine and cosine addition formulas to prove a difference formula for tangent.