If in `triangle ABC`, with usual notations , `a=18,b=24,c=30`, then `sin.(A)/(2)` is equal to

In a triangle ABC with usual notation,if a+b=3c, then tan((A)/(2))tan((B)/(2)) is equal to

In a /_\ABC with usual notations a=3, b=4, c=5 then inradius is equal to

If in a triangle ABC with usual notation, a(a-c)=b^(2)-c^(2) ,then 1572(sin^(2)(pi cos^(2)B)) is equal to

If any triangle ABC with usual notations prove c=a cos B + b cos A .

In a triangle ABC, with usual notations, if |[1,a,b] , [1,c,a] , [1,b,c]|=0 then 4sin^2A+24sin^2B+36sin^2C=

In a triangle ABC with usual notation b cosec B=a , then value of (b + c)/(r+ R) is

In triangle ABC , with the usual notations , prove that 2{a sin^(2).(C)/(2)+csin^2.(A)/(2)}=a+c-b

If, in triangleABC , a=18, b=24, c=30, then: sin A=……..

In a triangle ABC (with usual notations), (sin A+sin B)sin C=(a.b)/(2R^(2)) ,then which of the following are always true-