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Prove statement "tan"^(-1) 1/7+ "tan"^(-1)1/13="tan"^(-1) 2/9

Answer»

SOLUTION :L.H.S. `="TAN"^(-1) 1/7 +"tan"^(-1) 1/13`
`"tan"^(-1) ((1/7+1/13)/(1-1/7 -1/13))="tan"^(-1)((13+7)/(91-1))`
`"tan"^-1(20/90) ="tan"^(-1) 2/9`=R.H.S.


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