Sum and difference formulas

sin (x + y) = sin x . cos y + cos x . sin y
sin (x – y) = sin x . cos y – cos x . sin y
cos (x + y) = cos x . cos y – sin x . sin y
cos (x – y) = cos x . cos y + sin x . sin y

1.Simplify:

Solution:

2.Calculate:

Solution:

3.Prove identity:

4.Prive identity when:  :

5.Write formulas for the sum and difference of trigonometric functions:

7. Prove that it applies, when:

8.Prove that it applies:

9.Show that the identity holds:

10.Show that the identity holds:

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