Question

cot(theta)+1=0 what are all the solutions to theta?

Answer 1

So 180?

Answer 2

Is it cos or cot??

Answer 3

cot

Answer 4

And calc is using cos there..

Answer 5

Not sure.

Answer 6

Oh sorry. I misread it.

Answer 7

Haha.

Answer 8

\[\cot \theta = -1\]

\[\frac{1}{\tan \theta} = -1\]

\[\tan \theta = -1\]

\[\tan \theta = \tan(\frac{- \pi}{4})\]

General Solution of tanx = tana is given by:

\[x = n \pi + a\]

So, using this concept:

\[\theta = n \pi + (\frac{- \pi}{4})\]

\[\theta = n \pi - \frac{\pi}{4}\]

\[\theta = \frac{(4n - 1)}{4}\pi\]

Answer 9

Thanks !

Answer 10

Welcome dear..

Answer 11

Wait water. Is it possible if you could give me exact degrees to fit theta

Answer 12

You can put n= 0, 1, 2, 3 there and can find theta according to that..
First one I do for you:

Put n= 0,

\[\theta = \frac{(4 \times 0 - 1)}{4}\pi = \frac{-\pi}{4}\]

Like wise you can find more values of theta by putting n = 1, 2, 3 and so on..

Answer 13

Ahh okay thanks!