If the value of the expression `((2tan(pi/24))/(1+tan^2(pi/24)))^2` can be put in the form `(a-sqrt(b))/c` where a,b and c are relatively prime, then the value of `(a+b+c)`, is

If the value of the expression tan((1)/(2)cos^(-1).(2)/(sqrt5)) is in the form of a+sqrtb where a, b in Z , then the value of (a+b)/(b) is

If the value of the expression tan((1)/(2)cos^(-1).(2)/(sqrt5)) is in the form of a+sqrtb where a, b in Z , then the value of (a+b)/(b) is

If y in[-(pi)/(2), (pi)/(2)], sin y=x sin(y+(pi)/(6)) such that the value of (dy)/(dx) at x=1 is a+(sqrt(b))/(c) where a,b,c in N and b is a prime number.Then the value of a*b*c is

if A+B+C= pi Then value of tan(3A) +tan(3B) + tan(3C) is

Let A,B,C be the three angles such that A+B+C=pi , tan A.tan B=2 , then find the value of (cos A cos B)/(cos C)

Let A,B,C be the three angles such that A+B+C=pi , tan A.tan B=2 , then find the value of (cos A cos B)/(cos C)

In a triangle A B C ,/_C=pi/2dot If tan(A/2) and tan(B/2) are the roots of the equation a x^2+b x+c=0,(a!=0), then the value of (a+b)/c (where a , b , c , are sides of opposite to angles A , B , C , respectively) is

If A+B+C=pi, prove that tan^2(A/2)+tan^2(B/2)+tan^2(C/2)geq1.

If A+B+C=pi, prove that tan^(2)(A)/(2)+tan^(2)(B)/(2)+tan^(2)(C)/(2)>=1