How to Simplify Pythagorean Identities | 18 Examples
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Mathematics
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11th Grade - University
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Practice Problem
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Hard
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of using Pythagorean identities in trigonometry?
To calculate angles in a triangle
To find the area of a circle
To simplify trigonometric expressions
To solve algebraic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the unit circle, what does the y-coordinate represent?
Cosine of the angle
Tangent of the angle
Sine of the angle
Secant of the angle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the first Pythagorean identity?
tan^2(θ) + 1 = sec^2(θ)
cos^2(θ) - sin^2(θ) = 1
1 + cot^2(θ) = csc^2(θ)
sin^2(θ) + cos^2(θ) = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of dividing the Pythagorean identity by cos^2(θ)?
sin^2(θ) + cos^2(θ) = 1
1 + cot^2(θ) = csc^2(θ)
1 + tan^2(θ) = sec^2(θ)
tan^2(θ) + 1 = sec^2(θ)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you express cosecant squared minus cotangent squared using Pythagorean identities?
It equals zero
It equals one
It equals sine squared
It equals cosine squared
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of sin^2(x) - 1 using Pythagorean identities?
cos^2(x)
-cos^2(x)
tan^2(x)
-tan^2(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to simplify sec^2(x) - tan^2(x)?
It equals sin^2(x)
It equals cos^2(x)
It equals zero
It equals one
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