When is cosα a x component or y component in a problem?

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SUMMARY

In trigonometry, the application of cosα depends on the reference axis from which the angle α is measured. When α is measured from the x-axis, cosα represents the x-component of a vector. Conversely, when α is measured from the y-axis, cosα represents the y-component. This distinction is crucial for accurately resolving vectors in physics and engineering problems.

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How when do you know when to use cosα in the x component or y component?

I thought you only use cosα on the x component since it's the x coordinate on the unit circle.

Can somebody give me an example, I would appreciate it.
 
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If α is the angle taken from the x-axis or horizontal, then cosα is the x-component.

If α is taken from the y-axis or vertical, then cosα is the y-component.
 

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