Verifying a trigonometric Identities

Verifying a trigonometric Identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial demonstrates how to verify a trigonometric identity involving secant and cosine. It begins by selecting the more complex side of the equation and rewriting cosine in terms of secant. The tutorial then simplifies the expression by eliminating fractions and multiplying by secant. Finally, it shows that the simplified expression equals the original secant, thus verifying the identity.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in verifying the trigonometric identity involving secant and cosine?

Choose the simpler side to work with

Directly equate both sides

Convert everything to sine and cosine

Pick the more complex side to simplify

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is cosine expressed in terms of secant?

secant + 1

secant - 1

1/secant

secant * 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to eliminate the fraction in the expression?

Addition

Division

Subtraction

Multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the terms secant(Theta) - 1 in the numerator and denominator?

They add up

They cancel each other out

They remain unchanged

They multiply

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the simplification process?

Theta

secant of Theta

cosine of Theta

1