Question

Verify the pythagorean identity.

Answer 1

\(\Large1+\cot^2\theta=\csc^2\theta\)

Answer 2

@geerky42

Answer 3

cot=cos/sin and csc=1/sin

Answer 4

Yeah, so you would have \[1+\dfrac{\cos^2\theta}{\sin^2\theta} = \dfrac1{\sin^2\theta}\]

Answer 5

Now multiply both sides by \(\sin^2\theta\)

Answer 6

1+cos^2=1

Answer 7

right? or am I leaving something out?

Answer 8

@geerky42

Answer 9

\[\Large\sin^2\theta + \cos^2\theta = 1\]

Answer 10

IS that enough to verify Pythagorean identify?

Answer 11

I don't know. is it?

Answer 12

I believe so.

Answer 13

\[\Large\sin^2\theta + \cos^2\theta = 1\] is called "Pythagorean Identity" after all.

Answer 14

okay, thanks!