Question

How do you simplify the expression `(1-sin^2alpha)/sin^2alpha`?

Answer 1

`=> color(green)(1`

Explanation:

`(1 - sin^2 alpha) / cos^2 alpha`

`=> cos^2 alpha / cos ^2 alpha color(white)(aaa)` as `color(red)(sin^2 alpha + cos^2 alpha = 1`

`=> cancel(color(red)(cos^2 alpha))/ cancel(color(red)(cos^2 alpha)) = color(green)(1`