If `A=B=60^@` , verify that (i) `cos(A-B)=cosAcosB+sinAsinB` (ii) `sin(A-B)=sinAcosB-cosAsinB` (iii) `tan(A-B)=(tanA-tanB)/(1+tanAtanB)`

Explanation

To verify the given trigonometric identities, we will substitute \( A = B = 60^\circ \) into each identity and simplify both sides to check if they are equal.

### (i) Verify that \( \cos(A - B) = \cos A \cos B + \sin A \sin B \)

1. Substitute \( A \) and \( B \):
\[ \cos(60^\circ - 60^\circ) = \cos 60^\circ \cos 60^\circ + \sin 60^\circ \sin 60^\circ \]
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