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If alpha "and " beta be two distinct ...

If `alpha "and " beta ` be two distinct real numbers such that `(alpha-beta) ne 2 n pi` for any integer n satisfying the equations a cos `theta + b ` sin `theta =c` then prove that
`(i) "cos " (alpha+ beta) =(a^(2) -b^(2))/(a^(2) +b^(2)) " "(ii) "sin " (alpha + beta) = (2ab)/(a^(2)+b^(2))`

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