Advanced Examples 5-8

Presentation

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Mathematics

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11th Grade

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Practice Problem

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Medium

David Granda

Used 1+ times

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18 Slides • 10 Questions

Advanced Examples

Verifying identities

Follow the slides to verify the identities, problems 5-8 (handout examples)

Choose the most complex side of the equation to verify the identity.

Multiple Choice

5. Which side of the equation should we simplify?

Left

Right

Multiple Choice

What is a possible first step?

Separate the fraction

Use a Pythagorean identity

Multiply by the conjugate

Cancel the secant

Multiple Choice

How can we rewrite the expression?

Use reciprocal identities.

Cancel the secants to get 1

Cross multiply

Square the fractions

Multiply everything by sine

Can you see what your last step should be?

Choose the most complex side of the equation to verify the identity.

Multiple Choice

6. Which side of the equation should we simplify?

Left

Right

Multiple Choice

What is the best possible first step?

Use a Pythagorean identity

separate the fractions

Rewrite using reciprocal identities

Factor the numerator

Can you see what your last step should be?

Choose the most complex side of the equation to verify the identity.

Multiple Choice

7. Which side of the equation should we simplify?

Left

Right

Multiple Choice

What is the best possible first step?

Use a Pythagorean identity

Expand the squared factor

Rewrite using reciprocal identities

Factor a common factor

Can you see an identity after expanding?

Multiple Select

What are possible next steps?

Multiply everything by sine

Distribute tangent

factor out the 2

Rewrite tangent

as sine/cosine

What can we do after distributing and rewriting?

Can you see it?

What can we do when simplifying the left side?

Multiple Choice

What could we do to rewrite the left side of the equation?

Factor the numerator (difference of squares)

Use a Pythagorean identity

Keep change flip

Multiply by the conjugate

Multiple Choice

How can we proceed?

Separate as two fractions

Rewrite the denominator

(Pythagorean identity)

Advanced Examples

Verifying identities

Follow the slides to verify the identities, problems 5-8 (handout examples)

Show answer

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