Find the exact value of the trigonometric function, given a point on the terminal side of angle theta. (3,4) find cos theta

Answer 1

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.