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" (i) "tan^(-1)sqrt(3)...

" (i) "tan^(-1)sqrt(3)

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Using principal values, express the following as a single angle : 2 "tan"^(-1)(1)/(sqrt(3))+2 "tan"^(-1)sqrt(3)

A normal to parabola, whose inclination is 30^(@) , cuts it again at an angle of (a) tan^(-1)((sqrt(3))/(2)) (b) tan^(-1)((2)/(sqrt(3))) (c) tan^(-1)(2sqrt(3)) (d) tan^(-1)((1)/(2sqrt(3)))

A normal to parabola, whose inclination is 30^(@) , cuts it again at an angle of (a) tan^(-1)((sqrt(3))/(2)) (b) tan^(-1)((2)/(sqrt(3))) (c) tan^(-1)(2sqrt(3)) (d) tan^(-1)((1)/(2sqrt(3)))

cot(tan^(-1)sqrt(3))

cot(tan^(-1)sqrt(3))

tan^(-1) (1/(sqrt3))