How would I find sin, cos, and tangent with points in a unit circle?

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hala718 | High School Teacher | (Level 1) Educator Emeritus

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The unit circle is a circle with a radius of 1.

Then, we know that the equation of the unit circle is:

`x^2 + y^2 =`  1

Let us assume that;

sin(t) = x

cos(t) = y

==> `sin^2 t + cos^2 t = ` 1

So, if we are given the point (1,0) is on the unit circle then we know that:

sin(t) = x = 1

cos(t) = y = 0

Then we conclude that the angle t= `pi/2 + 2kpi`


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