In this worksheet, we will practice identifying in which quadrant an angle lies and whether its sine and cosine are positive or negative.

Q1:

Determine the quadrant in which π lies if cosπ<0 and sinπ<0.

Q2:

Determine the quadrant in which π lies if cosπ>0 and sinπ<0.

Q3:

In which quadrant does the angle 288β lie?

Q4:

The angle π is in standard position where secπ<0. In which quadrants does the terminal side of π lie?

Q5:

Is csc(β225)β positive or negative?

Q6:

Determine the quadrant in which π lies if cosπ<0 and sinπ>0.

Q7:

Is cos400β positive or negative?

Q8:

In which quadrant does π lie if sinπ=1β2 and cosπ=1β2?

Q9:

Determine the quadrant in which π lies if cosπ>0 and sinπ>0.

Q10:

In which quadrant does π lie if sinπ>0 and cosπ>0?

Q11:

Which of the following angles has a positive sine and a negative secant?

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