Rewrite equations

Question

Rewrite f(x) = 5csc^2 (x) + 6tan^2 (x) in terms of sin(x) . NOTE: Expressions such as sin^2 (x) must be entered as sin (x) ^ 2 or (sin(x)) ^ 2

Answer 1

f(x) = 5csc²(x) + 6tan² (x) = 5/sin²(x) + 6sin²(x)/(1 - sin²(x)) = (5 - 5sin²(x) + 6sin⁴(x))/[sin²(x)(1 - sin²(x))]