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

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

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

Find the value of tan^(-1)(-1/(sqrt(3)))+cot^(-1)((1)/(sqrt(3))) + tan^(-1)[sin'((-pi)/(2))] .

Evaluate each of the following: cos e c^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)(ii)tan^(-1)(-(1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

Evaluate each of the following: cot^(-1)(1)/(sqrt(3))-csc^(-1)(-2)+sec^(-1)((2)/(sqrt(3)))cot^(-1){2cos(sin^(-1)(sqrt(3))/(2))}csc^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)tan^(-1)((1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

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

Find the principal value of each of the following: i) sin^(-1)(1/2) ii) sin^(-1)(-sqrt(3)/2) iii) tan^(-1)(-1/sqrt(3)) iv) tan^(-1)(-1) v) "cosec"^(-1)(-2) vi) tan^(-1)(-sqrt(3))

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

sum_(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1)))) is equal to tan^(-1)(sqrt(n))-(pi)/(4)tan^(-1)(sqrt(n+1))-(pi)/(4)tan^(-1)(sqrt(n))(d)tan^(-1)(sqrt(n)+1)

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)