Solve the triangle ABC if `a=sqrt3+1`,b=2,`C=60^@`

In triangle ABC ,right-angled at B if tanA=1/sqrt3 ,find the value of:(i)sinA cosC+cosA sinC

In triangle ABC ,right-angled at B if tanA=1/sqrt3 ,find the value of:(ii)cosA cosC-sinA sinC

In triangle ABC,right-angled at B,if tanA=1/ sqrt3 ,find the value of , cosAcosC-sinAsinC

Find the area of the triangle ABC having vertices A(-2, 3), B(-3, 4) and C(1, 2).

Solve : sintheta=-1/2 , tantheta=1/sqrt3

In an isosceles triangle ABC if AC=BC and AB^2 = 2AC^2 , prove that /_C is a right angle.

In triangle ABC,right-angled at B ,if tan A= 1/ sqrt3 , find the value of sin A cos C+cos A sin C

Show that in a triangle ABC, a^2-2abcos(60^@+C)=c^2-2bc cos(60^@+A)

The area of an equilateral triangle ABC is 17320.5cm^2 .With each vertex of the triangle as center,a circle is drawn with radius equal to half the length of the side of the triangle(seeFig.12.28).Find the area of the shaded region.(use pi=3.14 and sqrt3=1.73205 )

Of the right triangle ABC, AB=a+b,BC=2sqrt(ab) and anglec=90^@ .Find AC.