Question

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

Answer 1

Where is 5pi/6 on the unit circle?

Answer 2

The reference angle would be pi/6. I found this by subtracting pi by (5/6)*pi (for more information, look back to the definition of a reference angle). The terminal point of (5/6)*pi is in the second quadrant, therefore the cosine value of (5/6)*pi will be negative and the sine value of (5/6)*pi will both be positive. Since the tangent function is defined as the quotient of sine and cosine, its sign will in turn be negative. Please correct me if I am wrong.

Answer 3

Sorry, I made a typo when I wrote "both" in the above paragraph, please ignore it.