Download Review Problems Week 3

Review Problems Week 3.
1. Find the amplitude, phase shift and period of the function f ( )  3 sin( 0.2 
2. Is the function f ( )  cos( ) sin(  ) even or odd (explain).
3. Solve the inequality 3x  4  6
4. The point P lies on the unit circle, has x coordinate

3
).
4
, and lies above the y-axis. What is
5
the y-coordinate of P?
5. Find the exact value of the following trigonometric functions: cos
11

, sin
2
6
1. Find t if sec t  2, and sin t  0
2. Graph one complete period of the following trigonometric functions: y  2 cos( x 

3
).
12
and Ө is in quadrant II, find the exact values of sec Ө and tan Ө.
13
4. Find the area of the sector of a circle with a 9-inch radius if the central angle of the sector is
60°
 1  2 3 
 , find cos(t) , sin(t) and tan(t).
5. The terminal point P(x,y) is  ,

3
3


2
6. Find the exact value of cot
3
3. If cos Ө = –
1. Given Ө = 330°, find the following:
a. Determine one positive and one negative coterminal angle.
b. Determine the reference angle.
c. Change Ө to radians.
d. Determine the terminal point
2. Graph y = 2cos(x + π/4). Label key points. State the amplitude, period, and phase shift.
3. Graph y = 2tan(2x + π/4). Label key points. State the amplitude, period, and phase shift.
4. Graph the inverse cosine function, clearly state the domain and range of this function.
5. Find a function of the form f ( x)  a cos k x  b with the given
56
2
3

graph.
1
3