Alg2 Un8Wk3 - Simplify Trig Exp & Using Pyth Id

Review of Simplifying Trig
Identities & Using Pythagorean Identities
Alg 2 Un8Wk3

Multiple Choice

Which of the following is a quotient identity in trigonometry?

• tan θ = sin θ / cos θ

• csc θ = 1 / sin θ

• cos² θ + sin² θ = 1

• cot θ = 1 / tan θ

Multiple Choice

What is the reciprocal identity for sec θ?

• sec θ = 1 / cos θ

• sec θ = cos θ / sin θ

• sec θ = sin θ / cos θ

• sec θ = 1 / tan θ

Multiple Choice

Which of the following is a Pythagorean identity?

• tan θ = sin θ / cos θ

• csc θ = 1 / sin θ

• cos² θ + sin² θ = 1

• cot θ = cos θ / sin θ

Multiple Choice

If cot θ = 4, what is tan θ?

• 1/4

• 4

• -4

• -1/4

Multiple Choice

If sin θ = 3/5, what is cos θ?

• 4/5

• 3/4

• 5/4

• 4/3

Multiple Choice

If sin θ = 1/3, what is cos θ?

• √8/3

• √8/2

• √8/1

• √8/4

Multiple Choice

If tan θ = 4/3, what is cos θ?

• 3/5

• 4/5

• 5/3

• 5/4

Multiple Choice

If csc θ = 12/5, what is cot θ?

• √119/12

• 12/√119

• 5/√119

• √119/5

• none of these

Multiple Choice

If cos θ = 6/7, what is sin θ?

• √13/7

• √13/6

• √13/5

• √13/4

Multiple Choice

If csc θ = -9/4, what is sin θ?

• -4/9

• 4/9

• -9/4

• 9/4

Multiple Choice

Simplify . Hint: What does $$\cot\theta$$  equal?  Quotient identity.

• sin²θ

• cosθ

• tanθ

• 1- sin²θ

Multiple Choice

Simplify this to a basic trigonometry function:

tan(x)csc(x) .

• tanx

• secx

• cotx

• cscx

Multiple Choice

• csc²θ
• sec²θ
• cscθ
• 1

Math Response

Simplify

Type answer here

Correct Answer: \cos\theta

Deg^°

Rad

Math Response

Simplify:  tanxcotx-cos²x

Type answer here

Correct Answer: \sin^2x

Deg^°

Rad

Poll

After this review, I feel --- about simplifying trig expressions AND using Pythagorean Identities

• Good

• Good to Ok

• Mmm, I think I get some/most of this

• Totally lost! Help! What's my name?

• Other: my thoughts/feelings are not listed here