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

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 ?

Find cos(arc cos x – arc tan x) Let u = arc cos x v = arc tan x

Find cos(arc cos x – arc tan x)

Homework Page 384 – 385 #1, 7, 17, 25, 31, 42, 53, 60, 31, 42, 53, 60, 71, 74 71, 74

Homework Page 384 – 385 # 4,10, 20, 28, 37, 47, 59, 62, 70, 73