How do i solve the expression,cos² (A+B)+sin² (A+B) and cos² (A+B)-sin²

How do i solve the expression,cos² (A+B)+sin² (A+B) and cos² (A+B)-sin²

(A+B)? t would you like to ask? Could someone please help me… I’m struggling quite a lot and I’m home schooled and don’t have a math teacher to explain it to me…
Thanks...

a) Use the additional formula to find an expression for: cos² (A+B)+sin² (A+B). Verify that this is reduced to 1.

b) Use a similar method to find an expression for cos² (A+B)-sin² (A+B). Verify that this is reduced to cos (2A+2B).
 
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