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Answer 1 We start by locating the angle $\theta = 135°$ on the unit circle.Since $135°$ is in the second quadrant, we use the reference angle $45°$ to find the values. The coordinates of the point on the unit circle at this angle are $\left(...
Answer 1 To find the length of the chord subtending an angle $\theta$ at the center of the unit circle, we can use the formula for the chord length: $L = 2r \sin\left(\frac{\theta}{2}\right)$ Since the radius $r$ of the unit circle is 1, the formula...
Answer 1 To find the value of $\cos(\frac{\pi}{9})$, we can utilize the triple angle formula for cosine: $\cos(3\theta) = 4\cos^3(\theta) - 3\cos(\theta)$. Let $\theta = \frac{\pi}{9}$.Therefore, $3\theta = \frac{3\pi}{9} = \frac{\pi}{3}$, and we...
PopAi: The Best AI Tools for Generating Cat with Hat Images So, let me tell you about my latest obsession: PopAi! Trust me, after tinkering with a few AI image generators, PopAi stood out like a neon sign. You know, I’m no Picasso, but I couldn’t help but marvel at...
Answer 1 To find the exact coordinates of $\frac{\pi}{10}$ on the unit circle, we need to compute both the cosine and sine of this angle.First, recall that the unit circle is defined by the equation $x^2 + y^2 = 1$ where $x = \cos(\theta)$ and $y =...
Answer 1 To efficiently memorize the unit circle, begin by understanding the key angles in radians and degrees. Break down the circle into quadrants, and focus on the primary angles: txt1 txt1 txt1$, $\frac{\pi}{6}$, $\frac{\pi}{4}$, $\frac{\pi}{3}$,...