Evaluate that : `2 arc sin (1/2) + 3 arc tan (-1) +2 arc cos (- 1/2)`

Find the value of : arc sin (1/2) + arc cos (1/2)

int x^(3) "arc" tan x dx .

Find the value of sin [ arc cos (- 1/2)]

Evaluate: tan ^ (- 1) 1 + cos ^ (- 1) ((1) / (2)) + sin ^ (- 1) (- (1) / (2)) + tan ^ (- 1) ( -sqrt (3)) - sec ^ (- 1) (- 2) + cos ec ^ (- 1) ((2) / (sqrt (3)))

The number k is such that tan { arc tan (2) + arc tan (20 k) } = k . The sum of all possible values of k is

int x^(2) "arc" cos x dx .

Evaluate : tan^(-1) (2 cos ( 2 sin^(-1) (1/2)))

Prove the inequality arc tan x_(2) -arc tan x_(1) lt x_(2) -x_(1) where x_(2) gt x_(1)