`int_0^(pi//2)1/(2+cos\ x)dx` equals `1/3tan^(-1)(1/(sqrt(3)))` b. `2/(sqrt(3))tan^(-1)(1/(sqrt(3)))` c. `sqrt(3)tan^(-1)(sqrt(3))` d. `2sqrt(3)tan^(-1)sqrt(3)`

int_0^(pi//2)1/(2+cos\ x)dx equals a. 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sqrt(3))tan^(-1)(1/(sqrt(3))) c. sqrt(3)tan^(-1)(sqrt(3)) d. 2sqrt(3)tan^(-1)sqrt(3)

sin^(-1)((sqrt(3))/(2))-tan^(-1)(-sqrt(3))

sin^(-1)((sqrt(3))/2)-tan^(-1)(-sqrt(3))=

tan^(2)x -(1+sqrt(3))tanx + sqrt(3)=0

3(tan^(-1)1)/(2+sqrt(3))-(tan^(-1)1)/(2)=(tan^(-1)1)/(3)

Find the value of (2tan^(-1)((1)/(sqrt(3)))+cos(tan^(-1)(2sqrt(2)))

int(dx)/(4sin^(2)x+3cos^(2)x) is equal to a) (sqrt(3))/(4)tan^(-1)""((2tanx)/(sqrt(3)))+C b) (1)/(2sqrt(3))tan^(-1)""((tanx)/(sqrt(3)))+C c) (2)/(sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C d) (1)/(2sqrt(3))tan^(-1)""((2tanx)/(sqrt(3)))+C

Show that "sin"^(-1)(sqrt(3))/2+"tan"^(-1)1/(sqrt(3))=(2pi)/3

Evaluate: tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-pi/2))

3tan ^(-1) ""(1)/(2+sqrt(3))-tan ^(-1)""(1)/(2)=tan^(-1 )""(1)/(3)