" (ii) "sin(tan^(-1)x+tan^(-1)(1)/(x))" for "x<0

Evaluate: (i) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x>0( ii) cot(tan^(-1)a+cot^(-1)a)

Evaluate the following : int_(0)^(1) ( sin ( 3 tan^(-1)x) tan^(-1)x)/( 1+x^(2)) dx

Value of sin{tan^(-1)x+tan^(-1)((1)/(x))}_( is )

tan^(-1) ((1-cos x)/(sin x))

tan(sin^(-1)x)

Fill in the blank choosing correct answer from the brackets The value of sin (tan^(-1) x + tan^(-1) 1/x, x gt 0_____ . (0,1,1/2)

tan^(-1)((1-cos x)/(sin x))

tan(sin^(-1)x+cos^(-1)x)

sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]