Draw the following angle in standard position; find the sine, the cosine, and the tangent of the angle below.
A) , ,
B) , ,
C) , ,
D) , ,
E) , ,

Question

Draw the following angle in standard position; find the sine, the cosine, and the tangent of the angle below.  ​
A)​ ​ , , 
B)​ ​ , , 
C)​ ​ , , 
D)​ ​ , , 
E)​ ​ , ,

Quizplus · Accepted Answer

The angle is in the third quadrant (between 180 and 270 degrees). In this quadrant, the x-coordinate is negative and the y-coordinate is negative. Therefore, the sine is negative and the cosine is negative. To find the tangent, we can use the formula tan(theta) = sin(theta) / cos(theta). Since both sin(theta) and cos(theta) are negative in the third quadrant, the negatives cancel out and the tangent is positive. Choice C is the only option where all three values (sine, cosine, and tangent) are negative, as they should be for an angle in the third quadrant.

Draw the Following Angle in Standard Position; Find the Sine