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Math Asked by a SnapAndSolve user · about 1 hour ago

a. sin 20 = (4/√209) / 112.5 (Simplify your answer. Type an exact answer, using radicals as needed. Use...

a. sin 20 = (4/√209) / 112.5
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)

Answer

Simplified Answer:

First, simplify the expression:

  1. Multiply the numerator and the denominator by √209 to rationalize the denominator:
  2. (4/√209) / 112.5 = (4 * √209) / (112.5 * √209)
  3. Now, simplify the denominator: 112.5 * √209 = 112.5√209
  4. So, the expression becomes: (4√209) / 112.5√209
  5. Cancel out √209 from the numerator and denominator:
  6. 4 / 112.5
  7. Simplify the fraction: 4 / 112.5 = 2 / 56.25 = 1 / 28.125

Therefore, the simplified expression is 1 / 28.125.

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