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Answer 1 $\text{To learn the unit circle, start by understanding that it is a circle with a radius of 1 centered at the origin (0,0).}$ $\text{1. Memorize the key angles: 0°, 30°, 45°, 60°, 90°, and their equivalents in radians.}$ $\text{2. Know the...
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Answer 1 We need to find the exact values of sine, cosine, and tangent for the angle $\frac{7\pi}{6}$ radians.1. Find the reference angle:The reference angle for $\frac{7\pi}{6}$ is $\pi - \frac{7\pi}{6} = \frac{\pi}{6}$.2. Determine the signs in the...
Answer 1 To find the radius of a circle, we use the formula for the circumference of a circle: $C = 2\pi r$ Given that the circumference $C$ is $31.4$ units, we can solve for the radius $r$. $31.4 = 2\pi r$ Divide both sides by $2\pi$: $r =...
Answer 1 To find the reference angle for an angle not on the unit circle, we first need to understand the definition of a reference angle. A reference angle is the acute angle formed by the terminal side of the given angle and the horizontal axis....
Answer 1 First, locate the angle $\frac{\pi}{3}$ on the unit circle. This angle corresponds to 60 degrees.The coordinates of the point on the unit circle at this angle are $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$.Thus, the cosine of...