Answer 1 To find the coordinates of the point corresponding to an angle of $\frac{5\pi}{6}$ radians on the unit circle, we need to find the cosine and sine of the angle. First, observe that $\frac{5\pi}{6}$ radians is in the second quadrant. The...

Answer 1 $ \text{Step 1: Determine the sine of } \frac{\pi}{4} $ $ \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $ $ \text{Step 2: Use the definition of cosecant: } csc(\theta) = \frac{1}{\sin(\theta)} $ $ csc(\frac{\pi}{4}) =...

Answer 1 To find the general solution for $\cot(\theta)$ on the unit circle, first recall the definition of cotangent, which is $\cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}$. We are looking for the values of $\theta$ where $\cot(\theta) = k$ for...