Solving a trigonometric equation with half angle formulas

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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 the range within which we need to solve the given trigonometric equation?
0 to π
0 to π/2
0 to 2π
π to 2π
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is applied to simplify the given trigonometric equation initially?
Sum and Difference Formula
Product-to-Sum Formula
Double Angle Formula
Half-Angle Formula
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it not advisable to square a trinomial directly?
It results in a binomial
It leads to a complex polynomial
It simplifies the equation
It is a standard practice
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct approach to handle a binomial squared?
Directly square each term
Subtract the terms
Use the FOIL method
Add the terms
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the equation before applying the zero product property?
x^2 + 2x - 1 = 0
2x^2 + 3x - 1 = 0
x^2 - 3x + 2 = 0
2x^2 - 3x + 1 = 0
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the zero product property help us find in the equation?
The sum of solutions
The product of solutions
The derivative of the equation
The potential solutions
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which angles correspond to cosine values of 1/2 and 1 on the unit circle?
π/6, 5π/6, π
π/4, 3π/4, π
π/3, 5π/3, 0
π/2, 3π/2, 2π
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