How do I solve the following equation?
$$\cos(x) – \sin(x) = 0$$
I need to find the minimum and maximum of this function:
$$f(x) = \frac{\tan(x)}{(1+\tan(x)^2}$$
I differentiated it, and in order to find the stationary points I need to put the numerator equal to zero. But I can't find a way to solve this trigonometric equation.
Best Answer
Here's an alternative hint with a more geometrical flavour: what are the angles in an isosceles right-angled triangle?