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If 2 cos alpha = x + (1)/(x) and 2 cos b...

If 2 cos `alpha` = x + `(1)/(x)` and 2 cos `beta` = y + `(1)/(y)`, show that
`(x^(m))/(y^(n))- (y^(n))/(x^(m))= 2i sin (m alpha - n beta)`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(m))/(y^(n))-(y^(n))/(x^(m))=2isin(malpha-nbeta)`
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