$What is the cosine and sine value of frac{pi}{3} on the flipped unit circle?$
Answer 1
Ava Martin
To find the cosine and sine values of $\frac{\pi}{3}$ on the flipped unit circle, we start by recalling the standard unit circle values.
On the standard unit circle,
$\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$
and
$\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}$
When flipping the unit circle over the x-axis, the sine value changes its sign:
$\cos\left(\frac{\pi}{3}\right) = \frac{1}{2}$
$\sin\left(\frac{\pi}{3}\right) = -\frac{\sqrt{3}}{2}$
Answer 2
Emma Johnson
To determine the cosine and sine values of $frac{pi}{3}$ on the flipped unit circle, we start from the standard unit circle values:
$cosleft(frac{pi}{3}
ight) = frac{1}{2}$
$sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2}$
Because flipping the unit circle over the x-axis only affects the sine value, we get:
$cosleft(frac{pi}{3}
ight) = frac{1}{2}$
$sinleft(frac{pi}{3}
ight) = -frac{sqrt{3}}{2}$
Answer 3
Henry Green
For $frac{pi}{3}$ on the flipped unit circle:
$cosleft(frac{pi}{3}
ight) = frac{1}{2}$
$sinleft(frac{pi}{3}
ight) = -frac{sqrt{3}}{2}$
Start Using PopAi Today