Show that the line joining the incenter to the circumcenter of triangle `A B C` is inclined to the side `B C` at an angle `tan^(-1)((cosB+cosC-1)/(sinC-sinB))`

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tan A tan C is equal to

In triangle ABC, the line joining the circumcenter and incenter is parallel to side BC, then cosA+cosC is equal to -1 (b) 1 (c) -2 (d) 2

Let f, g and h be the lengths of the perpendiculars from the circumcenter of Delta ABC on the sides a, b, and c, respectively. Prove that (a)/(f) + (b)/(g) + (c)/(h) = (1)/(4) (abc)/(fgh)

If the since of the angles A and B of a triangle ABCsatisfy the equation c^2x^2-c(a+b)x+ab=0, then the triangle

In triangle A B C , base B C and area of triangle are fixed. The locus of the centroid of triangle A B C is a straight line that is a) parallel to side B C (b)right bisector of side BC (c)perpendicular to BC (d)inclined at an angle sin^(-1)((sqrt())/(B C)) to side BC

In any triangle ABC, show that (a sin C)/(b - a cosC)= tanA .

If A,B,C are the angles of a triangle, find the maximum values of : sin A+ sinB+ sin C

In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

If A, B, C are the angles of a triangle then tan ((B+C)/2)=

If A ,Ba n dC are the vetices of a triangle A B C , then prove sine rule a/(sinA)=b/(sinB)=c/(sinC)dot