Let PQR be a triangle of area `Delta` with `a = 2, b = 7//2`, and `c = 5//2`, where a, b and c are the lengths of the sides of the triangle opposite to the angles at P, Q and R, respectively. Then `(2 sin P - sin 2P)/(2 sin P + sin 2P)` equals

Let P Q R be a triangle of area with a=2,b=7/2,and c=5/2, where a, b and c are the lengths of the sides of the triangle opposite to the angles at P , Q and R respectively. Then (2sinP-sin2P)/(2sinP+sin2P) equals

Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea , b ,a n dc are the lengths of the sides of the triangle opposite to the angles at P ,Q ,a n dR respectively. Then (2sinP-sin2P)/(2sinP+sin2P)e q u a l s 3/(4) (b) (45)/(4) (c) (3/(4))^2 (d) ((45)/(4))^2

In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin^(2) A//2 If a, b and c denote the lengths of the sides of the triangle opposite to the angles A,B and C respectively, then

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is

If p,q are two-collinear vectors such that (b-c)ptimesq+(c-a)p+(a-b)q=0 where a, b, c are lengths of sides of a triangle, then the triangle is

In a triangle A B C , if cos A+2\ cos B+cos C=2. prove that the sides of the triangle are in A.P.

If sin^2(A/2), sin^2(B/2), and sin^2(C/2) are in H.P. , then prove that the sides of triangle are in H.P.

If A, B, C are the angles of a triangle, then the determinant Delta = |(sin 2 A,sin C,sin B),(sin C,sin 2B,sin A),(sin B,sin A,sin 2 C)| is equal to

Let ABC is be a fixed triangle and P be veriable point in the plane of triangle ABC. Suppose a,b,c are lengths of sides BC,CA,AB opposite to angles A,B,C, respectively. If a(PA)^(2) +b(PB)^(2)+c(PC)^(2) is minimum, then point P with respect to DeltaABC is

Delta PQR is right angled isosceles triangle, right angled at R. Find value of sin P.