In a triangle `DeltaXYZ`, leta, bandc be the lengths of the sides opposite to the angles `X, Y and Z` respectively.lf `2 (a^2-b^2)=c^2 and lambda=sin (X-Y)/sin Z` then possible values of n for which `cos(n pi lambda)=0` is (are)

In a triangle Delta XYZ, leta,bandc be the lengths of the sides opposite to the angles X,Y and Z respectively.lf 2(a^(2)-b^(2))=c^(2) and lambda=(sin(X-Y))/(sin Z) then possible values of n for which sin Z (are)

In a triangle XYZ,let x,y,z be the lengths of sides opposite to the angles X,Y,Z, respectively,and 2s=x+y+z. If (s-x)/(4)=(s-y)/(3)=(s-z)/(2) of incircle of the triangle XYZ is (8 pi)/(3)

In a !XYZ ,let x , y , z be the length of the side opposite to angles. X , Y, Z respectively and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 and area of the incircle of the triangle XYZ is (8pi)/3 , the area of DeltaXYZ is

Let x,y an z be positive real numbers. Suppose x, y and z are the length of the sides of triangle opposite ot its angles, X,Y and Z respectively.If "tan" (X)/(2)+"tan"(Z)/(2)=(2y)/(x+y+x) then which of the following statement is/are TURE ?

If in a triangle ABC,/_B=(pi)/(3) and sin A sin C=lambda. Find the set of all possible values of lambda

If (2cos x-sin x+lambda)/(cos x+sin x-2)dx=A ln|cos x+sin x-2|+Bx+C then the value of A+B+| lambda| is

If f(x)=lambda|sin x|+lambda^(2)|cos x|+g(lambda) has a period =(pi)/(2) then find the value of lambda

If the solutions for theta from the equation sin^(2) theta-2sin theta + lambda = 0 lie in cup_( n in z)(2 n pi - pi/6, (2n+1) pi + (pi)/(6)) . Then, find the possible set values of lambda .