Answer 1 $For \ θ = \frac{3π}{4}, \ we \ know \ that \ tan(θ) = \frac{sin(θ)}{cos(θ)}$ $sin(θ) = sin(\frac{3π}{4}) = \frac{1}{\sqrt{2}}, \ cos(θ) = cos(\frac{3π}{4}) = -\frac{1}{\sqrt{2}}$ $Therefore, \ tan(θ) =...

Answer 1 To find the value of $\tan 45^{\circ}$ on the unit circle, we use the definition of $\tan$:$\tan \theta = \frac{\sin \theta}{\cos \theta}$For $\theta = 45^{\circ}$, we know that $\sin 45^{\circ} = \frac{\sqrt{2}}{2}$ and $\cos 45^{\circ} =...

Answer 1 To find the coordinates of the point on the unit circle where the angle is $ \frac{5\pi}{4} $ radians, we can use the definitions of sine and cosine for the unit circle. The angle $ \frac{5\pi}{4} $ is in the third quadrant, where both sine...

Answer 1 To find the coordinates of the point on the unit circle at an angle of $\frac{5\pi}{4}$ radians, we can use the cosine and sine functions:$ x = \cos \left( \frac{5\pi}{4} \right) $$ y = \sin \left( \frac{5\pi}{4} \right) $First, let's...