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. Find the Tangent of u + v

11. Find the Tangent of u - v

12. Find the Tangent of u - v

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 ?