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Unit 7 Solving TRIG Equations Form B
By Cynthia Rodriguez
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Last updated 10 months ago
35 questions
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Question 1
1.
Which of these problems has a restricted domain?
f(x)=cos(x) + sin(x)
f(x) = 2sin(x+5) - 3
f(x) = cos(x)sin(x) + sin(x)cos(x)
f(x) = 3cotan(x) + 2
Question 2
2.
Refer to your Unit Circle or the CAST Rule. In which quadrant is ONLY the Sine function positive?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Question 3
3.
1
2
3
4
Question 4
4.
Question 5
5.
What is the standard period of the cosecant function?
Question 6
6.
What are the primary solutions for sin(x) = 0?
Question 7
7.
What is the period of the cotangent function?
Question 8
8.
Question 9
9.
How many solutions does a TRIG function have?
TRIG functions will always have 2 solutions.
Sin and Cos will have 2 solutions. Tan will have 1 solution.
All TRIG functions have an infinite number of solutions unless the domain is restricted.
The TRIG function will have 0, 1, or 2 solutions.
Question 10
10.
Question 11
11.
Which of the following answers is out of range for the arcsin function?
0
Question 12
12.
What is the range of the arccos function?
Question 13
13.
Which exponent is used to denote the inverse trig functions or arc trig functions?
0
1
2
-1
-2
Question 14
14.
Simplify this expression:
2sin(x) - 1
csc(x)-tan(x)
0
-1
cos(x) - 2sin(x)
Question 15
15.
divide by cosine
divide by sine
multiply by sine
apply the arccos function
apply the arcsin function
Question 16
16.
Question 17
17.
What is the definition of a TRIG identity?
an equation of a functions that results in a solution of 1
. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.
an equation involving trigonometric functions that remains true for sine, cosine, and tangent values of the variable within the domain of the functions
. They are not always true for csc, sec, and cot.
an equation involving trigonometric functions that remains true for all values of the variable within the domain of the functions
. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.
an equation of a function that results in both sides being equal
. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.
Question 18
18.
Question 19
19.
Question 20
20.
Question 21
21.
Question 22
22.
Question 23
23.
Solve for the value of x in the trigonometric equation below. (Use the domain -pi/2 to pi/2)
Question 24
24.
Which of the following has a period of 6pi?
Question 25
25.
Which of these functions shows a horizontal shift 4 spaces to the left?
y=sin(x-4)
y=sin(x+4)
y=sin(x) + 4
y=sin(x) +8
Question 26
26.
Which of the following shows a down shift of 8?
Question 27
27.
Which of the following has the highest amplitude?
y = -10sinx
y = 4sinx + 100
y = -6sinx - 20
y = 2sin(x+50)
Question 28
28.
Which of the following has the shortest period?
y = 2cos(12x)
y = sin(x/30)
y = cos(10x)
y = 7sin(3x - 50)
Question 29
29.
What is recommended to help you simplify your more complicated side of a TRIG equation?
Rewrite everything in terms of sine and secant.
Rewrite everything in terms of cosecant and secant.
Start cancelling things out.
Rewrite everything in terms of sine and cosine.
Question 30
30.
What do we refer to for special angles when solving TRIG functions?
The right triangle
The right square
The unit circle
The Pythagorean Theorem
Question 31
31.
The tangent function is equal to which of the following?
1/cosine
1/cosecant
1/secant
1/cotangent
Question 32
32.
Question 33
33.
1/2
-1/2
1
-1
Question 34
34.
-1
26
36
23
Question 35
35.
The secant function is equal to which of the following?