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Answer 1 To solve for $\sin(30°) + \cos(60°) + \tan(45°)$, we need to find the individual values: $ \sin(30°) = \frac{1}{2} $ $ \cos(60°) = \frac{1}{2} $ $ \tan(45°) = 1 $ Adding these values together: $ \sin(30°) + \cos(60°) + \tan(45°) =...
Answer 1 Let the two circles be \(C_1\) with radius \(r_1\) and center \(O_1\), and \(C_2\) with radius \(r_2\) and center \(O_2\). The distance between the centers is \(d\). The common chord has endpoints where the circles intersect.Let the length...
Answer 1 First, we need to convert the angle $\frac{5\pi}{4}$ radians into degrees. We know that: $ 1 \text{ radian} = \frac{180}{\pi} \text{ degrees} $ Thus, $ \frac{5\pi}{4} \text{ radians} = \frac{5\pi}{4} \times \frac{180}{\pi} \text{ degrees} =...
Answer 1 To locate $-\pi/2$ on the unit circle, we can follow these steps: 1. Start at the positive x-axis (0 radians). 2. Move clockwise because the angle is negative. 3. Since $-\pi/2$ radians equals -90 degrees, move 90 degrees clockwise from the...
Answer 1 Given the angle $\theta = \frac{2\pi}{3}$, find the values of $\sin(\theta)$, $\cos(\theta)$, and $\tan(\theta)$ using the unit circle on a GDC TI calculator.1. Locate the angle $\theta = \frac{2\pi}{3}$ on the unit circle.2. The coordinates...
Answer 1 To solve this problem, let's first locate the angle $\frac{7\pi}{6}$ on the unit circle. This angle is in the third quadrant because $\frac{7\pi}{6}$ is greater than $\pi$ but less than $\frac{3\pi}{2}$.The reference angle is calculated by...