Find the antiderivative using the pythagorean identites

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Mathematics
•
11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What identity can be used to rewrite tangent squared?
Sine squared plus cosine squared
Secant squared minus one
Cotangent squared plus one
Cosecant squared minus one
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of rewriting tangent squared in terms of secant squared?
To make the expression more complex
To convert it into a polynomial
To eliminate all trigonometric functions
To simplify the expression for easier integration
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of secant squared?
Tangent of P
Sine of P
Cosine of P
Cotangent of P
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What additional term appears in the integration result besides tangent of P?
5P
3P
4P
2P
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to remember the frequent appearance of tangents in integration?
Because they are rarely used
Because they often simplify the process
Because they complicate the process
Because they are always the final result
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