Question

if sin theta is equals to minus 1 by 3 and theta does not lie in third quadrant then find the value of cos theta and Cot theta​

Answer 1

So theta (θ) must be in the 4th quadrant.

therefore sin(θ) = -1/3 is in the fourth quadrant.

therefore arcsin of -1/3 = (θ).

So θ must equal -19.47 degrees approx.

the cos(-19.47°) = .9428