Hello

I am studying A level maths A2 in UK. So level is pre-University maths.

I have for example, this equation to solve for 0 <= x <= 360.

cosec x = sec x.

I am solving like this:

$\displaystyle \frac{1}{sin x} = \frac{1}{cos x}$

$\displaystyle sin x = cos x$

x = 45 and 225 degrees.

Then looking on a graph of sin and cos x to see where they intersect. Is that the way to do it? Or is there a more rigorous method? Is there an algebraic method?

Angus