How to verify an identity by combining terms

How to verify an identity by combining terms

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to combine trigonometric expressions using sine and cosine. It starts by converting expressions into sine and cosine terms, then identifies a common denominator to combine them. The tutorial applies trigonometric identities to simplify the expression, ultimately showing that the expression equals secant of X.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step taken to transform the left side of the equation?

Expressing terms in terms of tangent and secant

Expressing terms in terms of secant and cosecant

Expressing terms in terms of tangent and cotangent

Expressing terms in terms of sine and cosine

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator used to combine the terms?

Cosine of X

Tangent of X

Secant of X

Sine of X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Cosine squared plus sine squared equals cosine

Cosine squared plus sine squared equals zero

Cosine squared plus sine squared equals two

Cosine squared plus sine squared equals one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression obtained after simplification?

Cotangent of X

Secant of X

Cosecant of X

Tangent of X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to express one over cosine of X?

Even-Odd identity

Quotient identity

Pythagorean identity

Reciprocal identity