Simplify the following as a product of trigonometric functions with no powers.

Question

(1/1-sin(x))-(1/1+sin(x))

Answer 1

1/(1 - sinx) - 1/(1 + sinx) = [(1 + sinx) - (1 - sinx)] / (1 - sin²x) = 2sinx / cos²x = 2tanx secx