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Show that ((sinA+sinB)/(cosA+cosB))^(n...

Show that
`((sinA+sinB)/(cosA+cosB))^(n) + ((cosA-cosB)/(sinA-sinB))^(n)`
`= 2 "tan"^(n) (A+B)/2` when n is an even integer,
0, when n is an odd integer.

Text Solution

Verified by Experts

The correct Answer is:
`L.H.S.= "tan"^(n)(A+B)/2-"tan"^(n)(A+B)/2` when n is an odd integer
= 0, when n is an odd integer= R.H.S.
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