Converting to sines and cosines to verify my trig identity

Converting to sines and cosines to verify my trig identity

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to verify a trigonometric identity by simplifying the expression on the left-hand side. The instructor converts all terms to sines and cosines, simplifies the expression, and demonstrates that it equals the right-hand side, 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 initial strategy suggested by the teacher to simplify the left-hand side of the equation?

Apply the double angle formula

Use the Pythagorean identity

Pair trigonometric functions with their reciprocals

Convert all terms to tangent and cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which identity is used to simplify the expression by canceling out terms?

Pythagorean identity

Double angle identity

Quotient identity

Reciprocal identity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main technique used to simplify the trigonometric expression in the second section?

Factoring the expression

Converting everything to sines and cosines

Using the angle sum identity

Applying the half-angle identity

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the teacher suggest handling the division of terms like X^2 / X?

By dividing the exponents

By adding the exponents

By multiplying the exponents

By subtracting the exponents

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the simplification process?

Sine of X plus cosine of X

2 sine of X

2 cosine of X

3 sine of X