Answer to Question #226344 in Trigonometry for Dhruv bartwal

Question

Let 0<θ<2π, θ

Answer 1

7pi / 6 is just a bit larger than pi. Thus the angle is in the 3rd quadrant, and the angle from the -x axis is pi/6.

The sine of pi/6 is 0.5, so the sine of 7pi / 6 will also be - 0.5 (Confirm that this makes sense by noting that the opposite side of the angle in the 3rd quadrant is negative)

To check, we can calculate the sine of 7pi / 6. This also gives us - 0.5