[" 10) Evaluate "],[qquad tan^(-1)[(3sin2 alpha)/(5+3cos2 alpha)]+tan^(-1)[(1)/(4)tan alpha]]

Evaluate: tan^(-1)((3sin2 alpha)/(5+3cas2 alpha))+tan^(-1)((1)/(4)tan alpha)

Simplify tan^-1[(3 sin 2alpha)/(5+3 cos2 alpha)]+tan^(-1)[(tan alpha)/4]

Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha) , where, -(pi)/(2) lt alpha lt (pi)/(2) .

If -(pi)/2 lt alpha lt (pi)/2 then prove that tan^(-1)((3sin 2 alpha)/(5+3 cos alpha))+tan^(-1)((tan alpha)/4)=

Simplify tan^(-1) [(3 sin 2 alpha)/(5 + 3 cos 2 alpha)] + tan^(-1) [(tan alpha)/(4)], " where " -(pi)/(2) lt alpha lt (pi)/(2)

Simplifytan^(-1) [(3 sin 2 alpha)/(5 + 3 cos 2 alpha)] + tan^(-1) [(tan alpha)/(4)], " where " -(pi)/(2) lt alpha lt (pi)/(2)

If -pi/2 lt alpha lt pi/2 , then prove that tan^(-1)((3sin2alpha)/(5+3cos2alpha))+tan^(-1)((tanalpha)/4)=

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

Simplify [(3sin2 alpha)/(5+3cos2 alpha)]+tan^(-1)[(tan alpha)/(4)], where -(pi)/(2)