Pre-Calculus - Simply expressions using fundamental identities, cotx . secx

Pre-Calculus - Simply expressions using fundamental identities, cotx . secx

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial demonstrates how to simplify trigonometric expressions using identities. It begins with an introduction to the quotient and reciprocal identities, followed by a step-by-step simplification of an expression involving cotangent and secant. The process involves rewriting the expressions using these identities and simplifying them to reach the final result, which is expressed in terms of cosecant.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identities are mentioned as useful for simplifying the given trigonometric expression?

Quotient and Reciprocal

Sum and Difference

Double Angle and Half Angle

Pythagorean and Reciprocal

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is cotangent of X expressed using the quotient identity?

Cosine of X divided by Sine of X

Sine of X divided by Tangent of X

Sine of X divided by Cosine of X

Tangent of X divided by Sine of X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal identity for secant of X?

One over Cosine of X

One over Tangent of X

One over Cotangent of X

One over Sine of X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the cosine terms in the numerator and denominator during simplification?

They add up

They multiply

They remain unchanged

They cancel each other out

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression in terms of sine?

Cosecant of X

Secant of X

Cotangent of X

Tangent of X