Question

Trigonometry help! Please show work.

Answer 1

1.

d - adjacent

e - hypotenuse

f - opposite

2.

`\sin \theta = (12)/(13),\\\\\cos \theta = (5)/(13),\\\\\tan \theta = (12)/(5),`

Explanation:

1. The opposite side of an angle is the side that the angle faces or forms. The hypotenuse of a right triangle is always the longest side of the right triangle. The adjacent side is one side or leg next to the angle that is not the hypotenuse.

2. In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus, we have:

`\sin \theta = (12)/(13),\\\\\cos \theta = (5)/(13),\\\\\tan \theta = (12)/(5),`