# Need some Calculus Help

Hello everyone!

I'm entering my first year of university calculus, and I must say, I was never really good with math. So I have a few questions. This will seem pathetic to some of the math wizzards!

1.) Show that the identity 1+cot^2 ϑ = csc^2 ϑ

follows from

sin^2 ϑ + cos^2 ϑ = 1.

2.) Solve sec^2 x = √3 tan x + 1 on [0, π)

quasar987
Homework Helper
Gold Member
Hi chowder,

you must show some work to get help.

what have you tried? what are your thoughts, etc.

VietDao29
Homework Helper
chowder said:
Hello everyone!

I'm entering my first year of university calculus, and I must say, I was never really good with math. So I have a few questions. This will seem pathetic to some of the math wizzards!

1.) Show that the identity 1+cot^2 ϑ = csc^2 ϑ

follows from

sin^2 ϑ + cos^2 ϑ = 1.

2.) Solve sec^2 x = √3 tan x + 1 on [0, π)

$$\ces ^ 2 x = \frac{1}{\cos ^ 2 x} = \frac{\sin ^ 2 x + \cos ^ 2 x}{\cos ^ 2 x} = ...$$