Cryptocurrency Q&A
Why is cos always positive?
Why is cos always positive?
BonsaiLife
Mon Oct 21 2024
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5 answers
902
I'm confused about why the cosine function always gives positive values. I understand that cosine represents the adjacent over hypotenuse in a right triangle, but how does this ensure that the result is always positive?
5 answers
CryptoChieftainGuard
Wed Oct 23 2024
Conversely, the opposite side, which extends perpendicularly from the adjacent side and forms angle a with the x-axis, remains in the positive y-direction in Quadrant 4. This positioning is shared with Quadrant 2.
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SoulStorm
Wed Oct 23 2024
In the realm of trigonometric functions, the position of angle a in various quadrants determines the signs of sine, cosine, and tangent. When angle a falls within Quadrant 4, a unique scenario unfolds.
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DigitalLord
Wed Oct 23 2024
Given these orientations, the trigonometric functions take on specific signs. Sine (opposite/hypotenuse) and Tangent (opposite/adjacent) are negative in Quadrant 4 because both the opposite and adjacent sides are of different signs (positive and negative, respectively).
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CryptoBaron
Wed Oct 23 2024
Quadrant 4 is characterized by angles ranging from 270° to 360°. Here, the reference angle, which is the acute angle formed with the positive x-axis, is measured counterclockwise from the positive x-axis.
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Lucia
Wed Oct 23 2024
Within Quadrant 4, the adjacent side of the right-angled triangle, which lies adjacent to angle a, is positioned along the positive x-direction. This is in contrast to Quadrants 1 and 2 where the adjacent side is along the positive y-direction.
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