" 6.(i) "tan((1)/(2)sin^(-1)(3)/(4))

Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2\ sin^(-1)(3/4)

Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2\ sin^(-1)(3/4)

Which of the following is not a rational number. a. sin (tan^(-1) 3 + tan^(-1).(1)/(3)) b. cos ((pi)/(2) - sin^(-1).(3)/(4))

Show that cos(2Tan^(-1).(1)/(7))=sin(2Tan^(-1).(3)/(4))

If x=sin(2tan^(-1)2)and y=sin((1)/(2)tan^(-1).(4)/(3)) , then prove that y^2 = 1 - x

Evaluate: (i) cot((sin^(-1)3)/(4)+(sec^(-1)4)/(3))( ii) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x<0