Express each of the following in the simplest form: `tan^(-1){sqrt((1-cosx)/(1+cosx))}, -pi<x<pi` (ii) `tan^(-1){(cosx)/(1+sinx)}, -pi/2<x<pi/2`
Express each of the
following in the simplest form:
`tan^(-1){sqrt((1-cosx)/(1+cosx))}, -pi
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`tan^(-1)""(sqrt((1-cosx)/(1+cos x)))`
`=tan^(-1)(sqrt((2sin^(2)""(x)/(2))/(2 cos^(2)""(x)/(2))))=tan^(-1)((sin""(x)/(2))/(cos""(x)/(2)))`
`=tan^(-1)(tan"(x)/(2))=(x)/(2)`
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