Question

Cos theta= 2/7, Cot theta less than 0, find Sin theta

Answer 1

In which quadrant would this lie?

Answer 2

None. It's suppose to be less than 0. Meaning negative.

Answer 3

What is? Sine? Yes, Sine would be negative.
There are two main ways to go about this, by drawing a triangle or just using identities.

Which one are you more comfortable with?

Answer 4

I think I got it. I hope I am correct.
Sin^2 + Cos^2= 1
Sin^2 + (2/7)^2 =
Sin^2 + 4/49=
Sin^2= 1/49-4/49
Sin^2=45/49
√Sin^2= √45/7
Sin=3√5/7
Is that correct?