If `cos^(-1)(2/(3x))+cos^(-1)(3/(4x))=(pi)/2(xgt3/4)` then `x` is equal to

If cos ^(-1) ((2)/( 3x )) + cos ^(-1) ((3 )/( 4x )) = pi/2 (x gt (3)/(4)) and "x" is equal to (sqrtp)/(q), then the value of (p -q) is :-

If x>0,cos^(-1)((3)/(x))=(pi)/(2)-cos^(-1)((4)/(x)) then x equals

lim_(x to 0) ((1-cos 2x)(3+cos x))/(x tan 4x) is equal to

Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(cos^(2)x)=(1)/(cos^(2)x) and y((pi)/(4))=(4)/(3) then vaue of y(-(pi)/(4)) is equal to (a)-(4)/(3)(b)(1)/(3)( c) e^(6)+(1)/(3)(d)3

If cos^(-1)(cos 4)gt3x^(2)-4x then

If cos^(-1)(cos 4)gt3x^(2)-4x then

cos((3pi)/4+x)-cos((3pi)/4-x)=

Prove : 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[1/2,1]