Related InterviewSolutions

• The angles of a triangle `A B C`are in `AdotPdot`and it is being given that `b : c=sqrt(3):sqrt(2)`, find `/_Adot`
• If `a^2,b^2,c^2`are in A.P., prove that `cotA ,cotB ,cotC`are in `AdotPdot`
• If in a triangle `A B C ,cosA+2cosB+cosC=2`prove that the sides of the triangle are in `AP`
• In any triangle `A B C ,`prove that:`a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B)=3a b c`
• With usual notations, if in a triangle `A B C(b+c)/(11)=(c+a)/(12)=(a+b)/(13)`, then prove that:`(cosA)/7=(cosB)/(19)=(cosC)/(25)`
• If in a ` A B C ,(a^2-b^2)/(a^2+b^2)=(sin(A-B))/(sin(A+B)`, prove that it is either a right angled or an isosceles triangle.
• If in a triangle`A B C ,``(2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a)`, then prove that the triangle is right angled.
• In a triangle `A B C`, if `cos A=(sinB)/(2sinC)`, show that the triangle is isosceles.
• In any ` DeltaABC`, prove that:`(sinB)/(sinC)=(c-acosB)/(b-acosC)`
• `cos(2A)/a^2-cos(2B)/b^2 = 1/a^2-1/b^2`