PopAi provides you with resources such as math solver, math tools, etc.
The page you requested could not be found. Try refining your search, or use the navigation above to locate the post.
Start Using PopAi Today
Suggested Content
More >
Answer 1 Given a point on the unit circle at coordinates (1/2, √3/2), find the corresponding angle in degrees.The point (1/2, √3/2) corresponds to an angle of 60 degrees.Answer 2 Given a point on the unit circle at coordinates (-1/2, √3/2), find the...
Answer 1 Given a point $ P $ on the unit circle, where the coordinates of $ P $ are $ ( \cos(\theta), \sin(\theta) ) $.If the coordinates of $ P $ are given as $ \left( \frac{1}{2}, \frac{\sqrt{3}}{2} \right) $, we need to determine the angle $...
Answer 1 When $θ = \fracπ3$, we can find the values of $\sin(θ)$, $\cos(θ)$, and $\tan(θ)$ from the unit circle:$\sin(\fracπ3) = \frac{\sqrt3}2$$\cos(\fracπ3) = \frac12$$\tan(\fracπ3) = \frac{\sin(\fracπ3)}{\cos(\fracπ3)} = \sqrt3$Answer 2 For $θ =...
Answer 1 To evaluate the integral of $ \cos(2x) $ from $ 0 $ to $ \frac{\pi}{2} $:$ \int_0^{\frac{\pi}{2}} \cos(2x) \, dx $Use the substitution $ u = 2x $, then $ du = 2dx $ or $ dx = \frac{1}{2} du $:$ \int_0^{\frac{\pi}{2}} \cos(2x) \, dx =...
Answer 1 To determine the coordinates of the point on the unit circle corresponding to the angle $\theta$, we use the following formulas for the unit circle:$ x = \cos(\theta) $$ y = \sin(\theta) $For instance, if $\theta = \frac{\pi}{4}$, then:$ x =...
Answer 1 On the unit circle, the coordinates of the point at an angle of $ \frac{\pi}{4} $ are:$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $Answer 2 For the angle $ frac{pi}{4} $ on the unit circle, the coordinates are:$ left(...