Use the Trigonometric Substitution to Rewrite the Algebraic Expression as a Trigonometric

question 75

Multiple Choice

Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of $\theta$ , where $0 < x < \frac { \pi } { 2 }$ . $\sqrt { 25 x ^ { 2 } + 36 } , 5 x = 6 \tan \theta$

• A)25 tan\(\theta \)
• B)5 tan \(\theta \)
• C)25 sec\(\theta \)
• D)6 sec \(\theta \)
• E)- 5 sec \(\theta \)

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Definitions:

Antoine Watteau

A French painter whose works reflected the Rococo style, known for his lyrical views of aristocratic life, marked by fluidity and use of gentle colors.

Upper Classes

The social group at the top of a societal hierarchy, often possessing significant wealth, power, and influence.

Neoclassicism

An 18th and 19th-century art and architecture movement inspired by the classical art and culture of ancient Greece and Rome, emphasizing simplicity, symmetry, and a sense of grandeur.

Rococo

An 18th-century artistic movement and style, characterized by elaborate ornamentation, asymmetrical values, pastel color palette, and themes of love, nature, and frivolity.