130_9.3_notes_quiz

What is the double-angle formula for tan(2θ)?

• 2 tan θ / (1 - tan² θ)

• 2 sin θ cos θ

• cos² θ - sin² θ

• 1 - 2sin² θ

Fill in the blank: The double-angle formula for cos(2θ) can also be expressed as ______.

• 2 cos² θ - 1

• 2 sin θ cos θ

• 1 - 2sin² θ

• 2 tan θ / (1 - tan² θ)

Fill in the blank: The identity cos² θ - sin² θ = ______ is used to verify cos(2θ).

• 2 sin θ cos θ

• cos(2θ)

• 1 - 2sin² θ

• 2 tan θ / (1 - tan² θ)

What is the value of cos(2θ) if sin θ = 3/5 and θ is in quadrant I?

• A) 7/25

• B) 24/25

• C) -7/25

• D) -24/25

Fill in the blank: The double-angle formula for sin(2θ) is ______.

• 2 sin θ cos θ

• cos² θ - sin² θ

• 1 - 2sin² θ

• 2 tan θ / (1 - tan² θ)

Given that tan θ = -3/4 and θ is in quadrant II, find cos(2θ).

• A) 7/25

• B) -7/25

• C) 24/25

• D) -24/25

What is the reduction formula for sin²(θ)?

• (1 - cos(2θ))/2

• (1 + cos(2θ))/2

• (1 - sin(2θ))/2

• (1 + sin(2θ))/2

Fill in the blank: The reduction formula for cos²(θ) is ______.

• (1 - cos(2θ))/2

• (1 + cos(2θ))/2

• (1 - sin(2θ))/2

• (1 + sin(2θ))/2

Which of the following is the reduction formula for tan²(θ)?

• (1 - cos(2θ))/(1 + cos(2θ))

• (1 + cos(2θ))/(1 - cos(2θ))

• (1 - sin(2θ))/(1 + sin(2θ))

• (1 + sin(2θ))/(1 - sin(2θ))