Tangent on the Unit Circle

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We start by recalling how can the tangent and the cotangent of an acute angle be expressed using the sine and the cosine. We then use those expressions as definitions of the tangent and cotangent of any angle. We also show how to visually represent the tangent of an angle on the unit circle.

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This explains tangent better than anyone has. Excellent!

namronmanelok
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This is by far the best explanation i have ever seen in my whole life. You are a professional at what you do and deserve to grow. Thank you so much for helping me understand!!!

priyankaagrawal
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Holly Molly. I was searching for three days on internet to find this stuff. No one explains this. Not sure why. I don't like memorising math, if i don't know why. God bless you. Great work. 🙏❤

ull
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thank you very much. Very well explained

henrikhillemyr
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Brother in christ, there's no need to make it so complicated. Since tan= opp/adj, then if adj=1, opp=tan. If we erect an opposite cathetus from adjacent side of 1, its value will ALWAYS equal to tangent. You just need to change sign based on quadrant.

Same thing as sin/cos being equal to y/x because hypotenuse=1

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