Answer 1 Let's calculate the values of $\tan(\pi/4)$, $\tan(\pi/6)$, and $\tan(\pi/3)$ using the unit circle: 1. $\tan(\pi/4)$: On the unit circle, the angle $\pi/4$ (45 degrees) corresponds to the point $(\sqrt{2}/2, \sqrt{2}/2)$. The tangent...

Answer 1 When $ \theta = \frac{3\pi}{4} $, the coordinates of point P on the unit circle are given by $ (\cos(\theta), \sin(\theta)) $.First, we need to calculate these values:$ \cos \left( \frac{3\pi}{4} \right) = -\frac{\sqrt{2}}{2} $$ \sin \left(...

Answer 1 To find the coordinates of the point on the unit circle corresponding to the angle $ \frac{5\pi}{4} $ radians, we need to use the unit circle properties.The angle $ \frac{5\pi}{4} $ radians is in the third quadrant.The reference angle for $...

Answer 1 To find the cosine and sine of a \(45^\circ\) angle, we use the unit circle, where the radius is 1.In the unit circle, a \(45^\circ\) angle corresponds to \(\frac{\pi}{4}\) radians.The coordinates of this point are \(\left( \cos...