Answer 1 Given points on the unit circle: $\frac{\pi}{6}, \frac{5\pi}{4}, \frac{11\pi}{6}$, find the exact values of $\cos$ and $\sin$.Answer 2 For $ heta = frac{pi}{6}$:$ cos left(frac{pi}{6} ight) = frac{sqrt{3}}{2} $$ sin left(frac{pi}{6} ight) =...

Answer 1 To prove the relationship between the sine and cosine of the sum of two angles, we use the unit circle and the definitions of sine and cosine:Given two angles, $\alpha$ and $\beta$, we can represent their sums on the unit circle. Consider...

Answer 1 Given the angle $\theta = \frac{\pi}{4}$, find the coordinate on the unit circle.The angle $\theta = \frac{\pi}{4}$ is equivalent to 45 degrees. At this angle, both the x and y coordinates are equal. Since we are on the unit circle, the...

Answer 1 To find the cosine and sine values for $\frac{5\pi}{6}$ radians, first recognize that $\frac{5\pi}{6}$ is in the second quadrant of the unit circle.In the second quadrant, sine is positive and cosine is negative.Next, find the reference...