Add two trig functions as fractions

Add two trig functions as fractions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to express tangent and cotangent using sine and cosine. It then guides through finding a common denominator for these expressions, which is sine times cosine. The tutorial demonstrates multiplying both sides by appropriate terms to achieve this common denominator. Finally, it simplifies the expression using trigonometric identities, resulting in a final answer without fractions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can tangent of Theta be expressed using sine and cosine?

Cosine of Theta times sine of Theta

Cosine of Theta over sine of Theta

Sine of Theta over cosine of Theta

Sine of Theta times cosine of Theta

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator when simplifying expressions involving tangent and cotangent?

Sine squared of Theta

Sine of Theta times cosine of Theta

Sine of Theta

Cosine of Theta

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed on both sides to achieve a common denominator?

Multiplication

Subtraction

Addition

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to simplify sine squared of Theta plus cosine squared of Theta?

Sine squared of Theta equals 1

Cosine squared of Theta equals 1

Sine squared of Theta plus cosine squared of Theta equals 1

Sine of Theta times cosine of Theta equals 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What can be used to rewrite expressions without fractions in the final step?

Quotient identities

Product identities

Pythagorean identities

Reciprocal identities