For the first question I got:
sin^2 x + cos^2 x = 1
so (sin^2 x)/(sin^2 x) + (cos^2 x)/(cos^2 x) = 1/(sin^2 x)
so 1 + (cos x/ sin x)^2 = (1/ sin x)^2
so 1 + cot^2 x = cosec ^2 x.
Is that right?
But im really stuck on the other two questions
I need help on these questions please.
1. given that sin^2 x + cos^2 x = 1 show that 1+cot^2 x = cosec^2 x
2. Solve for values x in the interval -pi<x<pi for the following in 2 decimal places:
a. 2cosec(x/2) - 5 =0
b. 2cot^2 x - cot x -7 = 0