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Answer 1 On the unit circle, the angle $ \frac{\pi}{4} $ corresponds to 45 degrees. The coordinates of this point are ( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} ). Therefore,$ \cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $Answer 2 The angle $ frac{pi}{4} $...
Answer 1 To find the coordinates of a point on the unit circle given the angle $\theta = \frac{\pi}{4}$, we use the definitions of sine and cosine:$ x = \cos(\theta) $$ y = \sin(\theta) $For $\theta = \frac{\pi}{4}$:$ x =...
Answer 1 To find the values of $ \sin, \cos, $ and $ \tan $ for an angle of $ \frac{\pi}{4} $ on the unit circle, we start with:$ \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $$ \cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $$...
Answer 1 To find the coordinates of a point on the unit circle at an angle of $ \frac{5\pi}{6} $, we use the unit circle properties.In the unit circle, the coordinates of a point at an angle $ \theta $ are given by $ ( \cos(\theta), \sin(\theta) )...
Answer 1 To find the value of $\tan(\theta)$ using the unit circle, we need to know the coordinates of the point on the unit circle that corresponds to the angle $\theta$.On the unit circle, the coordinates of a point can be given as $(\cos(\theta),...
Answer 1 First, note that $ \tan(\theta) = 1 $ when $ \theta = \frac{\pi}{4} $ or $ \theta = \frac{5\pi}{4} $ on the unit circle. Also, $ \tan(\theta) = -1 $ when $ \theta = \frac{3\pi}{4} $ or $ \theta = \frac{7\pi}{4} $. Therefore, the angles where...