What I wish I knew about compound angles in trig

Interactive Video
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Mathematics, Information Technology (IT), Architecture
•
11th Grade - University
•
Hard
Wayground Content
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common challenge students face when solving trigonometric equations with half and double angles?
Understanding the unit circle
Solving equations on an interval
Finding the maximum value of a function
Graphing linear equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving sin(θ) = 1/2, which angles are solutions within the interval [0, 2π]?
π/4 and 3π/4
π/6 and 5π/6
π/3 and 2π/3
π/2 and 3π/2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the period of the sine graph change when solving sin(2θ) = 1/2?
The period becomes 2π
The period becomes 4π
The period becomes π
The period remains unchanged
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding solutions for sin(2θ) = 1/2?
Add π to the angle
Set 2θ equal to known solutions
Multiply the angle by 2
Divide the angle by 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with half angles, what is the effect on the graph's period?
The period is halved
The period is tripled
The period is doubled
The period remains the same
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution set for θ when solving sin(θ/2) = 1/2 within [0, 2π]?
π/6 and 5π/6
π/3 and 5π/3
π/4 and 3π/4
π/2 and 3π/2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do after finding the initial solutions for a trigonometric equation with multiple angles?
Add 2π to each solution
Subtract π from each solution
Multiply each solution by 2
Adjust solutions to fit the interval
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