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Trigonometry
Pregunta

Trigonometric Substitution In Exercises \(53 - 56\...

Trigonometric Substitution In Exercises \(53 - 56\) , use the trigonometric substitution to write the algebraic expression as a trigonometric function of \(\theta\) , where 

\(0 < \theta < \pi / 2\) . 53. \(\sqrt { 9 - x ^ { 2 } } , x = 3 \cos \theta\) 

55. \(\sqrt { x ^ { 2 } - 4 } , x = 2 \sec \theta\) 

Answer

53. \(3 \sqrt { ( 1 + \cos ( \theta ) ) ( 1 - \cos ( \theta ) ) }\)

55.  \(2 \sqrt { ( \sec ( \theta ) + 1 ) ( \sec ( \theta ) - 1 ) }\)

Solución
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