How to simplify a trigonometric expression

How to simplify a trigonometric expression

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle subtraction problems by rewriting terms in terms of sines and cosines. It covers converting trigonometric functions like cosecant and cotangent, combining fractions with the same denominator, and using Pythagorean identities to simplify expressions. The tutorial emphasizes understanding the identity 1 - cosine squared equals sine squared and demonstrates simplifying expressions using division properties.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying trigonometric expressions according to the video?

Convert everything to terms of sines and cosines

Multiply all terms by a common factor

Add all terms together

Divide all terms by a common factor

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When combining fractions with the same denominator, what should you do with the numerators?

Keep them unchanged

Add them

Subtract them

Multiply them

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identity is used to simplify 1 - cosine squared of Theta?

Sine squared of Theta minus cosine squared of Theta equals one

Tangent squared of Theta plus one equals secant squared of Theta

Sine squared of Theta plus cosine squared of Theta equals one

Cosine squared of Theta minus sine squared of Theta equals one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can sine squared be broken down for simplification?

As sine times cosine

As sine plus cosine

As sine times sine

As cosine times cosine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression discussed in the video?

Secant of Theta

Tangent of Theta

Sine of Theta

Cosine of Theta