If in Figure `tan(/_B A O)=3,` then find the ratio `B C : C Adot`

In A B C ,C=60^0a n dB=45^0dot Line joining vertex A of triangle and its circumcenter (O) meets the side B CinD Find the ratio B D : D C Find the ratio A O : O D

In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divides A B internally in the ratio 1:3, then find the angle between vec C Ea n d vec C A(w h e r e| vec C A|=12)dot

In a right angle triangle ABC, right angle is at B ,If tan A=sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C

If in triangle A B C ,Delta =a^2-(b-c)^2 , then find the value of tan(A/2).

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positive numbers a b c=1a n dA^T A=I , then find the value of a^3+b^3+c^3dot

From the given figure, find the values of (i) sin B (ii) sec B (iii) cot B (iv) cos C (v) tan C (vi) cosec 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

The following figure shows the graph of f(x) =ax^(2)+bx +c , then find the sign of values of a, b and c .