What is the first step in solving trigonometric equations using substitution?

Trigonometric Equations and Solutions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Liam Anderson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Identify the interval for x
Directly solve for x without substitution
Use a calculator to find solutions
Perform a graphical analysis
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving the equation sine(u) = sqrt(2)/2, what angle does this remind us of?
60 degrees
90 degrees
45 degrees
30 degrees
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions for x when solving sine(x/2) = sqrt(2) - sine(x/2)?
x = 90 degrees and 270 degrees
x = 45 degrees and 135 degrees
x = 0 degrees and 180 degrees
x = 180 degrees and 360 degrees
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many points of intersection verify the solutions for the sine equation graphically?
Three
Two
Four
One
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made when solving the equation 2cos(3x) - sqrt(3) = 0?
u = 3x
u = x/3
u = 2x
u = x/2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine value that corresponds to a 30-degree angle in a 30-60-90 triangle?
1
sqrt(2)/2
sqrt(3)/2
1/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many solutions are found for the cosine equation in terms of x?
Four
Seven
Five
Six
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