Question

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find tan A.

Answer 1

For the given triangle, the tan of angle A equals C. $\frac{5}{12}$.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.

cos A = $\frac{oppositeside}{adjacentside}$.

Step 2; The opposite side's length = 15 units,

The adjacent side's length = 36 units.

cos A = $\frac{15}{36}$, dividing the numerator and the denominator by 3, we get

cos A = $\frac{5}{12}$, which is option C.