Find the exact value of the trigonometric function given the right triangle. Find cos theta. The adjacent side is 7, the opposite side is 4.
A. Square root 65/7
B. 7 square root 65/65
C. Square root 65/4
D. 4 square root 65/65
To find cos(theta), we use the formula cos(theta) = adjacent side / hypotenuse.
In this case, the adjacent side is 7, and the hypotenuse can be found using the Pythagorean theorem:
hypotenuse = sqrt(7^2 + 4^2) = sqrt(49 + 16) = sqrt(65).
Therefore, cos(theta) = 7 / sqrt(65) = 7 * sqrt(65) / 65.
So, the exact value of the trigonometric function cos(theta) is:
B. 7 * sqrt(65) / 65