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here is ur answer...
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Question:-
Prove that
cos(A-B)= cosA.cosB+sinA.sinB if A=B =60°
Proof:-
Let us first put the vale of A and B in their places .
Given values of A and B are 60°&60°
So now put the values in RHS :-
cos60. cos60 + sin 60 . sin 60
= 1/2.1/2+ √3/2.√3/2
= 1/4+3/4
=(1+3)/4
=4/4 = 1
Now let us put the values of A & B in LHS :-
cos(A-B) = cos(60-60)
= cos0
We know that the value of cos 0 is 1 .
Hence LHS = RHS = 1
Hence proved LHS = RHS
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