2 Math 4R Trigonometry HOMEWORK 3 o o -1 -1·· HW# 35: ---- 1_ Finish WS (Packet Pg_ 1) - Angles & TheirMeasure 2. WS (Packet Pg. 2) - Degree vs. Radian HW#36: ---- WS - Special Angles (Packet Pg 4) (Do not use a calculator) HW#37: ---- Text p. 414 - # 31, 33, 35, 36, 47, 48 HW# 38: ---- 1. WS (Packet Pg. 5) - Trigonometry Practice 2. Study for Quiz!!! (NO CALCULATOR) HW# 38A ---- Solve each of the following: (1) 2x - 1 = 0 (2) 3x + -{3 = 0 (3) 4x - 1 = 2x + 1 (4) S(x + 1) = S (5) 3(x - 2) = 2x - 7 (6) x + ..J2 = 2..J2 (7) 2X2 - x- 1 = 0 HW# 39: ---- WS (Packet Pg. 6) - Linear Trig Equations - # 1 -9 ODD HW#40: ---- WS (Packet Pg. 7) - Quadratic Trig Equations WS (Packet Pg. 9-10) - Trigonometry Review HW # 41A: Study for Test!!!
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2 Math 4R - files.transtutors.com · Angles & Their Measure If each angle has the given measure and is in standard position, determine the quadrant in which its terminal side lies.
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2 Math 4RTrigonometry HOMEWORK
3
o o
-1 -1··
HW# 35:----
1_Finish WS (Packet Pg_ 1) - Angles & Their Measure2. WS (Packet Pg. 2) - Degree vs. Radian
HW#36:----
WS - Special Angles (Packet Pg 4) (Do not use a calculator)
HW#37:----
Text p. 414 - # 31, 33, 35, 36, 47, 48
HW# 38:----
1. WS (Packet Pg. 5) - Trigonometry Practice2. Study for Quiz!!! (NO CALCULATOR)
HW# 38A----
Solve each of the following:(1) 2x - 1 = 0 (2) 3x + -{3 = 0 (3) 4x - 1 = 2x + 1(4) S(x + 1) = S (5) 3(x - 2) = 2x - 7(6) x + ..J2 = 2..J2 (7) 2X2 - x - 1 = 0
Find the exact solution set of each equation if 00 < 6 < 360°.
1. tan28 - 3 = 0 2. 2sin28 + sin8 - 1 = 0
3. 2sin8cos8 + cos8 = 0
Find the exact values for 6 in the interval 0 < 6 < 2TC.
4. tan2e - 1 = 0 5. cos38 = cos8
6. 2sin8 - csc8 = 0
Sinusoidal Regression
Name: _
1) Raul is taking a Marine Biology course and is assigned to study the tides at the local beach. Raul took readings atfour-hour intervals to determine the behavior of the tides.
(a) If x = 1 represents January 1, fmd a sinusoidal function of
best fit for this data, rounding all values to the nearest
hundredth. A sinusoidal function has the form
y = a sin (bx + c) + d .
(b) Using the exact equation, determine the months in which there was the maximum
and minimum amount of ice in the arctic.
(c) According to the exact regression equation what will be the amount of ice during
March of the following year?
MATH4R NAME __
TRIGONOMETRY REVIEW DATE _
1. Find the reference angle for the angle measuring - 510° .
117Z'2. Find the reference angle for the angle measuring -- radians.
3
3 If I· d d . . 107Z' d' .. an ang e In stan ar position measures - -- ra lans, In which quadrant3
does its terminal side lie?
4. Change 7000 to radian measure in terms of 7Z' .
5. Change - ~ radians to degree measure.12
6. Simplify the expression:cosx - 2
cos2x - cosx - 2
. . . sec2x
7. Simplify the expression: 2
tan x
8. Find the exact value of each function without using a calculator.
. 12Jr ( Jr)(a) S1ll
4(b) cot600° (c)sec -3
9. Solve for x in the interval 0 S; x S; 2Jr
2cos2x + cosx - 1 = 0
10. Throughout the day, the depth of water at the end of a dock varies with the tides.The table shows the depths (in meters) at various times during the morning(Midnight is time 0 and Noon is time 12.)
(a) Use the regression capabilities of a graphing calculator to fit a trigonometricfunction in the form f1 (x)=a*sin(bx+c)+d to the data.(Round to the nearest hundredth.)
(b) Use the equation to predict the depths at 9 AM. and 3 P.M.