[Math] Using unit circle to explain $\cos(0) = 1$ and $\sin(90) = 1$

algebra-precalculustrigonometry

We have been taught $\cos(0) = 1$ and $\sin(90) = 1$.

But, how do I visualize these angles on the unit circle?

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Best Answer

Suppose you have an angle $\theta$ in the unit circle. Then, the functions $\cos\theta$ and $\sin\theta$ represent the $x$ and $y$ components respectively. See the image below.

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Plugging the values $0$ and $90$ you will get it.