1.

`tan^(-1)((1+cos x)/(" sin x "))` का x के सापेक्ष अवलन कीजिये ।

Answer» माना `y=tan^(-1)((1+cos x)/(sin x))`
`y=tan^(-1)((2cos^(2).(x)/(2))/(2sin.(x)/(2)cos .(x)/(2) ))`
`tan^(-1)(cot.(x)/(2))`
`=tan^(-1){tan((pi)/(2)-(pi)/(2))}`
`=(pi)/(2)-(x)/(2)`
`:. (dy)/(dx)=-(1)/(2)`


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