50 how do you find the sine, cosine, and tangent values on the unit circle? provide an example.

Hello !

To find the sine,cosine,tangent for a point on a circle,it is mandatory to trace  the point projections on coordinate axes.


For example,if you have a point A on the circle,the projection on the x-axis may be A₂ ,and the projection on the y-axis may be A₁ .
OA₁ - the length from the center of the circle (O) to the y-axis projection
OA₂ - the length from the center of the circle to the x-axis projection


The hypotenuse (AO) is √(AA₁² + AA₂²) 

Now,the formulas : 
sin θ = AA₂/OA
cos θ = AA₁/OA
tan θ = AA₂/OA₂
cot θ = AA₁/AA₂

You have a drawing below,I hope you will understand :)
Have a nice day !

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