Solving a trigonometric equation with secant

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation secant squared of X minus secant of X equals 2?
Use the unit circle
Convert secant to cosine
Directly apply the zero product property
Set the equation equal to zero
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring the equation, what simpler form is used to temporarily ignore the secant function?
X^2 - X - 2 = 0
X^2 + X + 2 = 0
X^2 + 2X - 1 = 0
X^2 - 2X + 1 = 0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it easier to evaluate the reciprocal functions like cosine instead of secant?
Cosine has a simpler graph
Secant is undefined on the unit circle
Cosine is a primary trigonometric function
Cosine is always positive
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which angle corresponds to cosine of X equaling 1/2 on the unit circle?
π/6
π/4
π/3
π/2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution for the angle where cosine of X equals -1?
5π/3 + 2πR
π/2 + 2πR
π/3 + 2πR
π + 2πR
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find additional solutions for the trigonometric equation?
By subtracting multiples of 2π from the initial solution
By adding multiples of 2π to the initial solution
By subtracting π from the initial solution
By adding π to the initial solution
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of adding 2πR to the solutions?
It simplifies the equation
It eliminates extraneous solutions
It accounts for the periodic nature of trigonometric functions
It converts secant to cosine
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