Question

When the bridge is fully raised, tan⁡ θ=5/12. What is sec ⁡θ? PLEASE HELP

Answer 1

sec Ф = 13/12

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.