Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation

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Mathematics
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11th Grade - University
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Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is one method mentioned for solving trigonometric equations?
Using the quadratic formula
Inverse operations
Graphical analysis
Substitution method
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is factoring not straightforward in the given problem?
The equation is already simplified
There are multiple functions with the variable
The variable is not present
The equation is linear
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What formula is applied to simplify the equation involving tan(2X)?
Half-angle formula
Pythagorean identity
Double angle formula
Sum-to-product formula
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of adding cotangent to the other side of the equation?
To eliminate the tangent term
To simplify the equation
To get rid of the denominator
To factor the equation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is achieved by rewriting the equation with a common denominator?
It becomes a linear equation
It allows for factoring
It simplifies to a quadratic form
It eliminates all trigonometric functions
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is multiplication used instead of division in solving the equation?
To eliminate the variable
To simplify the equation
To apply the zero product property
To avoid complex numbers
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the zero product property help determine in the equation?
The derivative of the function
The roots of the equation
The integral of the function
The maximum value of the function
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