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Answer 1 First, we need to remember that the unit circle has a radius of 1 and it is centered at the origin (0,0).To find the sine of 45 degrees, we use the coordinates of the point where the terminal side of the angle intersects the unit circle.The...
Answer 1 To find the sine value of an angle of $\frac{\pi}{4}$ radians on the unit circle, we use the unit circle properties. The angle $\frac{\pi}{4}$ radians is equivalent to 45 degrees.On the unit circle, the coordinates of the point at...
Answer 1 Given a point on the unit circle at coordinates $(x, y)$, find the value of $\tan(\theta)$ where $\theta$ is the angle formed by the radius connecting the point to the origin.Using the definition of tangent in the unit circle:$\tan(\theta) =...
Answer 1 To determine the quadrant of the angle $( \theta )$ on the unit circle, we need to understand the angle's position in relation to the x-axis and y-axis. Consider the angle $( \theta = 150^{\circ} )$. Step 1: Convert the angle to radians if...
Answer 1 Let’s find the value of $\cos(\frac{\pi}{4})$ on the unit circle. The angle $\frac{\pi}{4}$ is equivalent to 45 degrees. On the unit circle, the coordinates of the point at an angle of $\frac{\pi}{4}$ are $(\frac{\sqrt{2}}{2},...
Answer 1 To find the coordinates of the point $Q$, which is the reflection of $P$ across the line $y = x$, we switch the coordinates of $P$. Therefore, the coordinates of $Q$ are $(sin(\theta), cos(\theta))$. Next, to find the coordinates of the...