5.4 Sum and Difference Formulas

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Presentation transcript:

5.4 Sum and Difference Formulas

Addition and Subtract of the Sine function With the sine function the sign between the expressions stays the same.

Find the Sine of u + v

Find the Sine of u - v

Addition and Subtract of the Cosine function With the cosine function the sign between the expressions change.

Find the Cosine of u + v

Find the Cosine of u - v

Addition and Subtract of the Tangent function Both are Rational expressions

Find the Tangent of u + v

Find the Tangent of u + v

Find the Tangent of u - v

Find the Tangent of u - v

Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

Simplify Remember: sin(u-v)=sin u·cos v-cos u·sin v

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Leave as a Rational Expression

Break up the angle and find Sin, Cos and Tan Tan can be done two ways.

Sin u = 5/13 What is Cos u ?

Sin u = 5/13 What is Cos u ?