WARM UP MAY 14TH The equation models the height of the tide

along a certain coastal area, as compared to average sea level (the x-axis). Assuming x = 0 is midnight; use the graph of the function over a 12-hour period to answer the following questions.

1. What is the maximum height of the tide?

2. When does it occur?

3. What will the height of the tide be at 11

A.M.?

4. When will the height be 6 feet below sea

level?

)3(6

cos8 xy

HOMEWORK CHECK/QUESTIONS?1. y = 2cos(π/2 x) y = -3sin(2x)

y = -3cos(1/2 x) + 53. a) points @ (0, 6), (0.5, 10) and (1, 6)

OR @ (0, 6), (30, 10) and (60, 6)b) Period = 1 minute, Amplitude = 2

OR Period = 60 secondsc) y = -2cos(2πx) + 8

OR y = -2cos(π/30 x) + 84. a) calc. set window x: 0 – 24, y: 0 - 90

b) 78°c) t = .979 and 12.979 during

January

TRIG TRASHKETBALL

NO CALCULATOR

1. Sin(π/2)

2. Cos(510°)

3. Csc(7π/6)

4. Sec(180°)

5. Tan(5π/3)

6. Cot(3π/2)

7. Sin(360°)

8. Cos(3π/4)

9. Csc(120°)

10.Sec(7π/4)

11.Tan(270°)

12.Cot(-240°)

NO CALCULATOR Give the values of angles in radians such

that 0 < x < 2π for which the given value is true.

1. Sinx = 0

2. Cosx = -√3/2

3. Tanx = 1

NO CALCULATOR Give the values of angles in radians such

that 0 < x < 2π for which the given value is true.

1. 4sinx + 2 = 0

2. 2 = 2cos2x + 1

NO CALCULATORy = 3sin(πx) – 5

Amplitude =

Period =

Interval =

Horizontal Shift =

Vertical Shift =

NO CALCULATOR

Amplitude =

Period =

Interval =

Horizontal Shift =

Vertical Shift =

NO CALCULATOR Match each graph to the correct function. 1. y=sinx 2. y=cosx 3. y=-sinx 4. y=-cos x

A. B.

C. D.

CALCULATOR ACTIVE1. Find the point (x, y) on the unit circle that

corresponds to t = -7π/6

2. Find 4 coterminal angles (2 positive and 2 negative) for -7π/9 answer in radians (do not convert to degrees!)

 

CALCULATOR ACTIVE 1. Determine the quadrant in which the

terminal side of the angle 8π/5 lies.

2. Determine the quadrant in which the terminal side of the angle 572 lies.

CALCULATOR ACTIVE In which quadrant is an angle if…1. sinx < 0 and tanx > 0

2. cosx > 0 and cscx > 0

3. cotx < 0 and secx > 0  

CALCULATOR ACTIVE Simplify each expression using identities:1. 1 – cos2x

2. (sinx)(secx)

 

CALCULATOR ACTIVE Simplify the expression using identities:

  )cot()cos(1

)sin(

CALCULATOR ACTIVE  The point (8,-3) is on the terminal side of an

angle in standard position. Sketch a picture and find the value of each of the following.

1. cosθ =

2. cscθ =

3. cotθ =

CALCULATOR ACTIVE Change degrees to radians and radians to

degrees. 1. 108° 2. 11π/4

CALCULATOR ACTIVE State the measure of the reference angle. 1. 316° 2. 9π/14

CALCULATOR ACTIVE Find an angle between 0° and 360° or 0 and

2 which is co-terminal with the angle given. 1. 695° 2. -2π/3 (answer in

radians)

CALCULATOR ACTIVE Write an equation for the graph.