Express the coordinates of key points on the unit circle in terms of trigonometric functions

To express the coordinates of key points on the unit circle in terms of trigonometric functions, remember that each point on the unit circle corresponds to an angle $\theta$ and can be written as $(\cos(\theta), \sin(\theta))$. For example:

For $\theta = 0$: $\cos(0) = 1, \sin(0) = 0$ Hence, the coordinates are $(1, 0)$.

For $\theta = \frac{\pi}{2}$: $\cos\left(\frac{\pi}{2}\right) = 0, \sin\left(\frac{\pi}{2}\right) = 1$ Hence, the coordinates are $(0, 1)$.

For $\theta = \pi$: $\cos(\pi) = -1, \sin(\pi) = 0$ Hence, the coordinates are $(-1, 0)$.

For $\theta = \frac{3\pi}{2}$: $\cos\left(\frac{3\pi}{2}\right) = 0, \sin\left(\frac{3\pi}{2}\right) = -1$ Hence, the coordinates are $(0, -1)$.

To express the coordinates of key points on the unit circle, use $cos( heta)$ and $sin( heta)$. For example:

For $ heta = 0$: Coordinates are $(1, 0)$.

For $ heta = frac{pi}{2}$: Coordinates are $(0, 1)$.

For $ heta = pi$: Coordinates are $(-1, 0)$.

For $ heta = frac{3pi}{2}$: Coordinates are $(0, -1)$.

Using $cos( heta)$ and $sin( heta)$, the coordinates are:

For $ heta = 0$: $(1, 0)$.

For $ heta = frac{pi}{2}$: $(0, 1)$.

For $ heta = pi$: $(-1, 0)$.

For $ heta = frac{3pi}{2}$: $(0, -1)$.

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