Sine is positive while cotangent is negative. So this must mean cosine is negative since cos/sin = cot. In other words, cotangent is the ratio of cosine over sine.
Because cosine is negative and sine is positive, this places theta in quadrant 2
This is where x < 0 and y > 0. Recall that on the unit circle, x = cos(theta) and y = sin(theta).
The answer is choice B) quadrant II
The domain is all the input values that's shown on the x-axis on the graph.
The triangle spilts into two 45-45-90 triangle. Because of that, the short leg and long leg with be the same length. It gives the hypotenuse, 10. Divided 10 by √2 which is 5 √2. The length of CD is 5 √2