Master Simplifying rational trigonometric expressions

Master Simplifying rational trigonometric expressions

Assessment

Interactive Video

•

Mathematics

•

11th Grade - University

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to simplify rational trigonometric expressions by eliminating fractions and finding common denominators. It covers several examples using trigonometric functions like cosecant, secant, tangent, sine, and cosine. The tutorial emphasizes the use of trigonometric identities, particularly Pythagorean identities, to simplify expressions effectively.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying rational trigonometric expressions?

Use the quadratic formula

Find the derivative

Convert to radians

Eliminate fractions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When adding fractions with different denominators, what must you find?

Least common denominator

Sum of the numerators

Average of the denominators

Greatest common factor

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the common denominator for cosecant and secant?

Product of the functions

Difference of the functions

Sum of the functions

Quotient of the functions

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the benefit of converting trigonometric functions to sines and cosines?

It simplifies the expression

It makes differentiation easier

It changes the angle

It eliminates the need for a calculator

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the LCD for tangent and cosine?

Sum of the denominators

Product of the denominators

Difference of the denominators

Quotient of the denominators

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identity is used to simplify sine squared plus cosine squared?

Double angle identity

Half angle identity

Pythagorean identity

Sum of angles identity

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the third example, what property is used to expand expressions?

Commutative property

Identity property

Associative property

Distributive property

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