Acircle centered at the origin has a radius of 10 units. the terminal side of an angle, theta, intercepts the circle in quadrant i i at point c. the y-coordinate of point c is 8. what is the value of cosine theta?

Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ

We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6

From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6

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