Question

verify csc^2x = cos^2x + cot^2x + sin^2x

Answer 1

\(\csc^2x = \dfrac{1}{\sin^2x}\)

Right @mgs122995 ?

Answer 2

right!!

Answer 3

\( \dfrac{1}{\sin^2x} = \dfrac{\sin^2x + \cos^2x}{\sin^2x}\)

Right?

Answer 4

yes

Answer 5

\(\dfrac{\sin^2x + \cos^2x}{\sin^2x} = \dfrac{\sin^2x}{\sin^2x} + \dfrac{\cos^2x}{\sin^2x}\)

Right?

Answer 6

yes

Answer 7

Do you have it from here or do you want me to keep going?

Answer 8

keep going please

Answer 9

\(\dfrac{\sin^2x}{\sin^2x} + \dfrac{\cos^2x}{\sin^2x} = 1 + \cot^2x\) right?

Answer 10

okay yes

Answer 11

\(1 + \cot^2x = (\sin^2x + \cos^2x) + \cot^2x\) right?

Answer 12

yes

Answer 13

Okay, so do you have any questions about how I got from the LHS to the RHS?

Answer 14

no I understand that part

Answer 15

Okay, great. Good luck with the rest of your work.

Answer 16

thanks

Answer 17

yw