Answer:
sec Ф = 13/12
Step-by-step explanation:
If tan Ф = 5 / 12, we can find the third side of this triangle (that is, the hypotenuse) by applying the Pythagorean Theorem:
hyp² = 5² + 12² = 169. Thus, the hyp is 13.
Thus, cos Ф = adj / hyp = 12/13.
The secant function is the reciprocal of the cosine function, so
sec Ф = 13/12.