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Answer 1 $\text{Given the equation of the original unit circle}$ $x^2 + y^2 = 1.$ $\text{When the unit circle is flipped over the y-axis, each point } (x, y) \text{ is transformed to } (-x, y).$ $\text{So, the new coordinates after transformation are...

Answer 1 To solve for sine and cosine of the angle $\frac{5\pi}{4}$, we first determine its location on the unit circle.The angle $\frac{5\pi}{4}$ radians is in the third quadrant, where both sine and cosine values are negative.The reference angle...

Answer 1 To find the value of $\sin(30^\circ)$ on the unit circle, we first need to recognize that $30^\circ$ is a special angle. On the unit circle, the angle $30^\circ$ corresponds to the coordinates $(\frac{\sqrt{3}}{2}, \frac{1}{2})$. The sine...

Answer 1 To find the cosine and sine values of 45° using the unit circle, we first recognize that 45° corresponds to the angle π/4 radians.In the unit circle, the coordinates of the point where the terminal side of the angle intersects the circle...

Answer 1 One way to remember the unit circle is by focusing on the key angles and their coordinates. Let's start with the four quadrants: $0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi$ radians or $0^\circ, 90^\circ, 180^\circ, 270^\circ, 360^\circ$....

Answer 1 To find the value of $\tan(45°)$ on the unit circle, we use the definition of tangent:$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$At $\theta = 45°$, we have:$\sin(45°) = \frac{\sqrt{2}}{2}$$\cos(45°) =...