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Calculus, all content (2017 edition)

Lesson 6: Trigonometric substitution

Trigonometric substitution

A student uses the following right triangle to determine a trigonometric substitution for an integral.

Which one of the following equations is incorrect for 0, is less than, theta, is less than, pi, slash, 2?

(Choice A)
x, equals, 4, cosine, theta
(Choice B)
square root of, 16, minus, x, squared, end square root, equals, 4, sine, theta
(Choice C)
\csc, theta, equals, start fraction, 4, divided by, square root of, 16, minus, x, squared, end square root, end fraction
(Choice D)
cotangent, theta, equals, start fraction, x, divided by, square root of, 16, minus, x, squared, end square root, end fraction
(Choice E)
None of the above

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