SOLUTION: If an angle x measured counter clockwise from the positive x axis terminates in the third quadrant, which of the following is true? A) both of sin(x) and cos(x) are negative B)

Question 1089331: If an angle x measured counter clockwise from the positive x axis terminates in the third quadrant, which of the following is true?
A) both of sin(x) and cos(x) are negative
B) both of sin(x) and cos(x) are positive
C) sin(x) is negative and cos(x) is positive
D) sin(x) is positive and cos(x) is negative
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The sign of the sine function is the same as the sign of the y-coordinate of a point in the quadrant containing the terminal ray of the argument of the function. The sign of the cosine function is the same as the sign of the x-coordinate of a point in the quadrant containing the terminal ray of the argument of the function.

x-coordinates are positive in QI and QIV. y-coordinates are positive in QI and QII

John

My calculator said it, I believe it, that settles it

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