If P,Q and R are the angles of a triangle the value of `|{:(tanP,1,1),(1,tanQ,1),(1,1,tanR):}|` is

If A,B and C are the angle of a non-right angled Delta ABC the value of |{:(tanA,1,1),(1,tanB,1),(1,1,tanC):}| is

The maximum value of |{:(1,1,1),(1,1+sintheta,1),(1,1,1+costheta):}| is 1/2

If A,B and C are the angles of a triangle and |{:(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^(2)A,sinB+sin^(2)B,sinC+sin^(2)C):}| =0 then prove that Delta ABC must be isoceles.

Evaluate Delta=|{:(1,a,bc),(1,b,ca),(1,c,ab):}|

If A,B and C are angles of a triangle, then the determinant |{:(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1):}| is equal to "........."

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

If two angles of a triangle are tan^(-1)(2) and tan^(-1)(3), then find the third angle.

An equilateral triangle has each of its sides of length 4 cm. If (x_(r),y_(r)) (r=1,2,3) are its vertices the value of |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|^2

If p(m)=m^(2)-3m+1 , then find the value of p(1) and p(-1) .

Delta=|{:(p,2-i,i+1),(2+i,q,3+i),(1-i,3-i,r):}| is always …….