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Determine the sine of pi/4 on the unit circle

Answer 1 To determine the sine of $ \frac{\pi}{4} $ on the unit circle, recall that the coordinates for $ \frac{\pi}{4} $ are:$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $The y-coordinate gives you the sine value:$ \sin\left(...

Determine the position of -π/2 on a unit circle

Answer 1 To find the position of $ -\frac{\pi}{2} $ on a unit circle, we start by understanding that the unit circle is a circle with radius 1 centered at the origin (0,0). The angle $ -\frac{\pi}{2} $ is measured in the clockwise direction from the...

Determine which quadrant the angle pi/3 is in the unit circle

Answer 1 To determine the quadrant of the angle $ \frac{\pi}{3} $, we note that this angle is equivalent to 60 degrees.In the unit circle, angles between 0 and 90 degrees are in the first quadrant.Therefore, the angle $ \frac{\pi}{3} $ is in the...