Find the exact value of the trigonometric function given the right triangle. The adjacent side is 7, and the opposite side is 4.
To find the exact value of the trigonometric function, we can use the Pythagorean theorem to find the length of the hypotenuse first.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 7^2 + 4^2
c^2 = 49 + 16
c^2 = 65
c = sqrt(65)
Now, we can find the trigonometric function cosine of angle A:
cos(A) = adjacent side / hypotenuse
cos(A) = 7 / sqrt(65)
Therefore, the exact value of the trigonometric function cosine of angle A is 7/sqrt(65).