The points (cos alpha, sin alpha) and (cos (p | vedclass

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(B) Let the two points be $P = (\cos \alpha, \sin \alpha)$ and $Q = (\cos (\pi+\alpha), \sin (\pi+\alpha))$.Using the trigonometric identities $\cos (

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opposite

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(B) Let the two points be $P = (\cos \alpha, \sin \alpha)$ and $Q = (\cos (\pi+\alpha), \sin (\pi+\alpha))$.Using the trigonometric identities $\cos (\pi+\alpha) = -\cos \alpha$ and $\sin (\pi+\alpha) = -\sin \alpha$,we get $Q = (-\cos \alpha, -\sin \alpha)$.This can be written as $Q = -(\cos \alpha, \sin \alpha) = -P$.Since the coordinates of $Q$ are the negative of the coordinates of $P$,the vector from the origin to $Q$ is in the opposite direction to the vector from the origin to $P$.Thus,the points have opposite directions.

The points $(\cos \alpha, \sin \alpha)$ and $(\cos (\pi+\alpha), \sin (\pi+\alpha))$ for $\alpha \in R$ have directions:

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