If
The given function is ( cos x )y = ( cos y )x
Taking logarithm on both the sides, we obtain
y log cos x = x log cos y
Differentiating both sides, we obtain
Let A = R – {3} and B = R – {1}. Consider the function f : A B defined by . Show that f is one-one and onto and hence find f - 1.
Using matrices solve the following system of linear equations:
x - y + 2 z = 7
3 x + 4 y - 5 z = - 5
2 x - y + 3 z = 12