tan((1)/(2)sin^(-1)(3)/(4))=(4-sqrt(7))/(3)

Show that: tan(1/2sin^(-1)(3/4))=(4-sqrt(7))/3

Prove that : tan((1/2 )sin^-1(3/4)) = (4-sqrt7)/3

Show that: tan(1/2sin^(-1)(3/4))=(4\- sqrt(7))/3

Show that tan(1/2"sin"^(-1)3/4)=(4-sqrt7)/3 and justify why the other value (4+sqrt7)/3 is ignored ?

sin(2"Tan"^(-1)3/4)=

If sin x+cos x=(sqrt(7))/(2), where x in1st quadrant,then (tan x)/(2) is equal to (a)(3-sqrt(7))/(3) (b) (sqrt(7)-2)/(3)( c) (4-sqrt(7))/(4) (d) none of these

Consider the following statements 1. sin^(-1)""(4)/(5)+sin^(-1)""(3)/(5)=(pi)/(2) 2. tan^(-1)sqrt3+tan^(-1)1=-tan^(-1)(2+sqrt3) Which of the above statements (s) is/are correct ?

sin^(-1){cot(sin^(-1)(sqrt((2-sqrt(3))/(4))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))}

[sin(tan^(-1)((3)/(4)))]^(2)=

[sin(tan^(-1).(3)/(4))]^(2) =