which side should you pick to verify the identity?

which side should you pick to verify the identity?

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

Created by

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The video tutorial explains how to verify trigonometric identities by simplifying expressions. It emphasizes choosing the more complex side to simplify, using sine and cosine to rewrite expressions, and combining fractions with common denominators. The tutorial also covers using reciprocal identities to match expressions on both sides of an equation.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in verifying a trigonometric identity?

Convert all functions to tangent.

Choose the simpler side to start with.

Pick the more complex side to simplify.

Start with the right side of the equation.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it generally easier to simplify from addition to multiplication?

Addition can be condensed into multiplication.

Multiplication involves fewer steps.

Multiplication is more intuitive.

Addition is always more complex.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When stuck on simplifying trigonometric expressions, what is a recommended strategy?

Switch to polar coordinates.

Convert all terms to tangent.

Rewrite in terms of sine and cosine.

Use only the Pythagorean identity.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the least common multiple of sine and cosine in the context of combining fractions?

Sine squared

Cosine squared

Sine times cosine

Sine plus cosine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Quotient identity

Sum identity

Reciprocal identity

Pythagorean identity

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express 1 over sine in terms of a trigonometric function?

Secant

Cosecant

Tangent

Cotangent

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property allows the order of multiplication to be rearranged?

Distributive property

Associative property

Identity property

Commutative property