Verify Trig Identities (Adv. Ex.)

Verifying Identities

(Advanced Examples)

Follow the examples, take notes, participate)

Multiple Choice

To verify, which side seems the most complex.

• Left

• Right

Multiple Choice

What could be our first strategy to simplify the left side?

• Rewrite into sines and cosines

• Combine fractions

• factor common factor

• multiply by the conjugate

Multiple Choice

To verify, which side seems the most complex.

• Left

• Right

Multiple Choice

What could be our first strategy to simplify the right side?

• Rewrite into sines and cosines

• Combine fractions

• factor common factor

• multiply by the conjugate

• Use a Pythagorean Identity

Multiple Choice

To verify, which side seems the most complex.

• Left

• Right

Multiple Choice

What could be our first strategy to simplify the left side?

• Rewrite into sines and cosines

• separate fractions

• factor common factor

• multiply by the conjugate

• Use a Pythagorean Identity

Multiple Choice

To verify, which side seems the most complex.

• Left

• Right

Multiple Choice

What could be our first strategy to simplify the left side?

• Rewrite into sines and cosines

• separate fractions

• factor common factor

• multiply by the conjugate

• Use a Pythagorean Identity

Multiple Choice

Simplify to a single trig expression

• $$-\cos x$$

• $$\cos x$$

• 1

• $$\tan^2x$$

Multiple Choice

Simplify to a single trig expression

• $$-\cos x$$

• $$\cot^2x$$

• 1

• $$\tan^2x$$

Multiple Choice

Simplify to a single trig expression

• $$\csc x$$

• $$\cot^2x$$

• 1

• $$\sec^2x$$

Multiple Choice

Simplify to a single trig expression

• $$2\sin^2x$$

• $$\sin x$$

• 1

• $$\sec^2x$$

Multiple Choice

Describe, what was the first step in this proof?

• Change everything to sines and cosines (reciprocal identities)

• finding a common denominator

• multiplying by the conjugate

• squaring both sides

Multiple Choice

Describe the first two steps of this proof

• 1: Find a common denominator to combine the fractions.

  2: Combine the fractions.

• 1: Separate the fraction

  2: multiply by conjugate

• 1: Change to sines and cosines

  2: Combine fractions

• 1:Square both sides

  2: Cancel common factors