How to add and simplify two trigonometric expressions

How to add and simplify two trigonometric expressions

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial covers adding fractions with different denominators by finding common denominators. It then transitions to using cofunction identities to convert trigonometric expressions into fractions, again finding common denominators. The tutorial concludes by simplifying these expressions using Pythagorean identities, demonstrating how sine squared plus cosine squared equals one, and further simplifying to cosecant and secant.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding the fractions 3/3 and 4/4?

7/12

12/25

25/12

1/12

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric identity is used to convert tangent and cotangent into fractions?

Quotient identity

Pythagorean identity

Cofunction identity

Reciprocal identity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator when converting tangent and cotangent into fractions?

Tangent of Theta

Sine of Theta times Cosine of Theta

Cosine of Theta

Sine of Theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does sine squared plus cosine squared equal according to the Pythagorean identity?

Theta

0

1

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of one over sine times cosine?

Secant

Cosecant times Secant

Cosecant

Cotangent