If a and b are positive numbers such that a > b, then the minimum value of a sec(θ) - b tan(θ) for 0 < θ < π/2 is given by:

If 0 ≤ a, b ≤ 3 and the equation x2 + 4 + 3cos(ax + b) = 2x has real solutions, then the value of (a + b) is:

If f(x) = sin(x), what is the value of f(π4)?

Let f(x) = cos(2 tan-1(sin(cot-1(√((1-x)/x))))), where 0 < x < 1. Then which of the following relations is correct?