If `tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin14)=(pi)/(2)`, then the value of `sin^(-1)(sin2x)` can be equal to

If tan^(-1)(x^(2)+3abs(x)-4)+cot^(-1)(4pi+sin^(-1)sin14)=pi/2 , then the value of sin^(-1)sin2x is

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the value of sin^(-1)sin2x is

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the value of sin^(-1)sin2x is (a) 6-2pi (b) 2pi-6 (c) pi-3 (d) 3-pi

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n the value of sin^(-1)sin2x is (a) 6-2pi (b) 2pi-6 (c) pi-3 (d) 3-pi

If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)s in 14)=pi/2, t h e n the value of sin^(-1)2x is 6-2pi (b) 2pi-6 pi-3 (d) 3-pi

If tan^(-1)x+sin^(-1)x=-(2 pi)/(3) then the value of cos^(-1)x+cot^(-1)x is equal to

If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

If ((1+cos2x))/(sin2x)+3(1+(tanx)tan.(x)/(2))sin x=4 then the value of tanx can be equal to