How to verify a basic trigonometric identity

How to verify a basic trigonometric identity

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial focuses on verifying mathematical identities by equating the left and right sides of an equation. It explores multiple methods to approach the problem, emphasizing the use of trigonometric identities like sines and cosines for simplification. The tutorial also demonstrates the verification process using reciprocal functions and highlights the importance of understanding the underlying principles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when proving that the left side of an equation equals the right side?

To solve for the unknown

To show that both sides are identical using identities

To simplify the equation

To find the value of the variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different ways did the teacher mention for rewriting the equation?

Five

Seven

Three

Ten

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a recommended strategy if you get stuck while solving the problem?

Guess the answer

Convert everything to sines and cosines

Use a calculator

Convert everything to tangents

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What identity is used to simplify the expression in the demonstration?

Sum identity

Quotient identity

Reciprocal identity

Pythagorean identity

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do reciprocal functions equal when multiplied together?

Negative one

Two

One

Zero