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By using above basic addition/ subtracti...

By using above basic addition/ subtraction formulae, prove that
(i) `tan (A+B)=(tan A+tan B)/(1-tan A tan B)` , (ii) `tan (A-B)=(tan A-tanB)/(1+tan A tan B)`
(iii) `sin2theta=2sintheta costheta` , (iv) `cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1`
(v) `tan 2theta=(2 tan theta)/(1-tan^(2) theta)`

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