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Answer 1 To find the coordinates of the point on the unit circle that corresponds to an angle of $\frac{7\pi}{6}$ radians, we can use the unit circle definitions. The angle $\frac{7\pi}{6}$ radians is in the third quadrant where both x and y...
Answer 1 To find the coordinates of the point on the unit circle at an angle $\theta$:1. Use the parametric equations for the unit circle: $x = \cos(\theta)$$y = \sin(\theta)$2. Substitute the given angle $\theta = \frac{2\pi}{3}$ into the...
Answer 1 To find the point on the unit circle where the angle is $\frac{\pi}{3}$, we start by noting that the unit circle has a radius of 1. The coordinates of any point on the unit circle can be found using the trigonometric functions cosine (cos)...
Answer 1 To find the coordinates of a point on the unit circle after a $225^\circ$ rotation counterclockwise, we can use the trigonometric functions cosine and sine: The general formula for finding the coordinates $(x, y)$ on the unit circle is: $x =...
PopAi: The Best AI Generators for Animal Images Alright, so let me tell y’all about this amazing tool I stumbled upon called PopAi, the ultimate AI generator for animal images. After diving headfirst and a bit skeptically into the world of AI-driven creativity, I...
Answer 1 Given the cosine of the angle is $-\frac{2}{3}$,First, find the sine of the angle using the Pythagorean identity:$\cos^2\theta + \sin^2\theta = 1$Substitute $\cos\theta = -\frac{2}{3}$:$\left(-\frac{2}{3}\right)^2 + \sin^2\theta =...