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

question 58

Multiple Choice

Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of $\theta$ , where $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$ .Then find sin $\theta$ and cos $\theta$ . $4 = \sqrt { 16 - x ^ { 2 } } , x = 4 \sin \theta$

• A) \(16 \cos \theta = 4 ; \sin \theta = 0 ; \cos \theta = 1\)
• B) \(4 \cos \theta = 4 ; \sin \theta = 0 ; \cos \theta = 1\)
• C) \(16 \sin \theta = 4 ; \sin \theta = 0 ; \cos \theta = 1\)
• D) \(4 \cos \theta = 4 ; \sin \theta = 1 ; \cos \theta = 0\)
• E) \(4 \sin \theta = 4 ; \sin \theta = 0 ; \cos \theta = 1\)

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