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Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
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emilyliv emilyliv
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3 years ago
Determine all values where sinx = cosx for -360° ≤ x ≤ 360.
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#1
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3 years ago Edited: 3 years ago, bio_man
Hi emilyliv

Sorry for the late reply



As you can see, sine and cosine intersect at 45 and 225. Those are angles between 0 and 360.

To get the angles between -360 and 0, subtract 45 and 225 by 360. That will give you coterminal angles less than 0. Therefore, -315 and -135 also are intersection angles.

θ = -315, -135, 45, and 225

Let me know if that helps; there are other ways to figure this out as well
emilyliv Author
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#2
3 years ago
This helped, thank you!
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