If P is a skew-symmetric matrix of order 3, then what is det(P) equal to? 

If 4 sin^-1 x + cos^-1 x = π, then what is sin^-1 x + 4 cos^-1 x equal to?

What is cot²(sec^-1 2) + tan² (cosec^-1 3) equal to ?

In a triangle ABC $\rm \frac{a}{\cos A}=\frac{b}{\cos B}=\frac{c}{\cos C}$ What is the area of the triangle if a = 6 cm?