SOLUTION: Simplify the expression {{{ sqrt( 9-x^2 ) }}} as much as possible after substituting 3 sin &#952; for x. (Assume 0° < &#952; < 90°.)

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify the expression {{{ sqrt( 9-x^2 ) }}} as much as possible after substituting 3 sin &#952; for x. (Assume 0° < &#952; < 90°.)      Log On


   

Question 987492: Simplify the expression
+sqrt%28+9-x%5E2+%29+
as much as possible after substituting 3 sin θ for x. (Assume 0° < θ < 90°.)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the expression
+sqrt%28+9-x%5E2+%29+
This cannot be "simplified."
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as much as possible after substituting 3 sin θ for x. (Assume 0° < θ < 90°.)
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If you sub 3sin(t) for x, then it's a different expression.
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--> +sqrt%28+9+-+%283sin%28t%29%29%5E2+%29+
= sqrt%289+-+9sin%5E2%28t%29%29
= sqrt%28%289%29%2A%281+-+sin%5E2%28t%29%29%29
= sqrt%28%289%29%2Acos%5E2%28t%29%29%29
= 3cos(t)
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Silly problem.