Find the exact value of the trigonometric function, given a point on the terminal side of angle theta. (3,4) find cos theta
To find the cosine of angle theta, we first need to determine the hypotenuse of the right triangle formed by the point (3,4).
Using the Pythagorean theorem, we have:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Now we can find the cosine of angle theta:
cos(theta) = adjacent/hypotenuse
cos(theta) = 3/5
Therefore, the exact value of cos(theta) is 3/5.