Rationalize the denominator to simplify a trig expression

Rationalize the denominator to simplify a trig expression

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial covers the process of rationalizing denominators, focusing on the use of conjugates. It begins with a review of rationalizing denominators in the context of the unit circle and triangles, then introduces the concept of conjugates, both irrational and complex, as a method to eliminate radicals. The tutorial includes a detailed example problem, demonstrating the application of conjugates and the difference of squares to simplify expressions. The session concludes with a practical example involving trigonometric functions, showcasing the simplification of a fraction using these techniques.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of applying the difference of two squares to the expression 1 - sin(Theta)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the final simplification that occurs after rationalizing the denominator in the given problem.

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