Simplify trigonometric expression by multiplying rational expressions

The video tutorial explains how to handle fractions inside parentheses, emphasizing the importance of distributing the fraction to each term when separated by multiplication or division. It highlights that this method does not apply to addition or subtraction. The tutorial then demonstrates simplifying a trigonometric expression by canceling terms and applying power rules, resulting in a simplified expression of 1/4 cosine of X.

What is the importance of distributing a fraction inside parentheses?

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Explain how to simplify the expression 4 cosine cubed of X divided by sine squared of X multiplied by sine squared of X / 16 cosine squared of X.

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What happens when you try to distribute a fraction over addition instead of multiplication?

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How do you apply the power rules when dividing cosine functions?

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What is the final simplified form of the expression after performing the necessary operations?

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