How to evaluate the inverse of cosecant with the unit circle

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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 initial trigonometric function the teacher prefers to work with instead of cosecant?
Secant
Sine
Tangent
Cosine
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical operation is used to isolate sine in the equation?
Division
Addition
Subtraction
Multiplication
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reference angle in the unit circle that corresponds to a sine value of sqrt(3)/2?
π/4
π/3
π/6
π/2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which quadrants is the sine function negative?
3rd and 4th
2nd and 3rd
1st and 2nd
1st and 4th
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle in radians that results in a sine value of -sqrt(3)/2?
-π/6
-π/3
-π/4
-π/2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the alternative method suggested for solving the problem?
Using cosine
Taking the reciprocal
Multiplying by a constant
Using tangent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it not recommended to multiply by additional numbers when rationalizing?
It adds unnecessary complexity
It makes the problem unsolvable
It simplifies the problem
It changes the fraction
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