Precalculus
1. Show that the point ( 1 / ✓5, -2 / Js) is on the unit circle.
2. The point P(x,y)is on the unit circle in quadrant IV. If y =-5/6 findx.
3. Find the reference number and the terminal point P( x, y) determined by t = 1 )f .
4. Suppose that the terminal point determined by t is the point ( i53
, g) on the unit circle. Find the
terminal point determined by ,r + t .
5. Find the reference number for t = - 2�1r •
6. Find the exact value of sin ( 9:f) and cos (- 9:f) .
7. Find the exact value of sec en and csc (- 1 �tr) .
8. If the terminal point determined by t is ( J�, -1
5
3
), find sin t , cost and tan t .
9. Find to two decimal places the approximate value of tan(l.5).
10. Use the fundamental identities to write the first expression in terms of the second.
cott
sint
cost
11. Find the sign of costsint if the terminal point determined by t is in quadrant II.
12. Find tan t given that sin t = -¾ and cot t < 0 .
13. If cost = 3 I 5 and the terminal point for t is in quadrant IV, find tan t +sect .
14. Find the amplitude, period and phase shift of y = 3 cos(2x).