When θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?

Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.

Given that here π/2 < Ф < π, the angle is in the second quadrant.

In the second quadrant the signs are:

sine positive
cosine negative
tangent negative.

Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.

Then,

sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3

The Option C shows the y-coordinate of the Point C: 7

The Point C is (-2,7)

Step-by-step explanation:

The area of a triangle can be calculated with this formula:

Where "b" is the base and "h" is the height.

We know that the segment AB, of 5 units long, is on the line , which is a horizontal line.

The point C is on the line , which is vertical.

Then we can say that:

Substituting the area and the lenght of the base into the formula and solving for "h", we get:

Then, the height (or the segment BC) of the triangle (Observe the figure attached) is 5 units long.

Therefore, the point C is: (-2,7)

And the y-coordinate of the point C is: 7