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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.

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Presentation on theme: "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."— Presentation transcript:

1 5.4 Sum and Difference Formulas

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

3 Find the Sine of u + v

4 Find the Sine of u - v

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

6 Find the Cosine of u + v

7 Find the Cosine of u - v

8 Addition and Subtract of the Tangent function Both are Rational expressions

9 Find the Tangent of u + v

10

11 Find the Tangent of u - v

12

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

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

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

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

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

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

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

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

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

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

23 Sin u = 5/13 What is Cos u ?

24 Sin u = 5/13 What is Cos u ?

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

26 Find cos(arc cos x – arc tan x)

27

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

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


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