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11th Grade Half Angle Formulas Quizzes, Questions & Answers

11th Grade

Top Trending Half Angle Formulas Quizzes

What happens when tangent gets “halved”? This quiz dives into the tangent half-angle identities—multiple forms, signs across quadrants, and connections to sine and cosine. You’ll simplify...

Questions: 20 | Attempts: 11 | Last updated: Dec 2, 2025

Sample Question 1
Which of the following is not a valid formula for tan(θ/2)?

Sin θ / (1 + cos θ)

(1 - cos θ) / sin θ

±√((1 - cos θ)/(1 + cos θ))

Cos θ / (1 + sin θ)

Sample Question 2
If tan θ = 3/4, find tan(θ/2).

1/3

2/3

3/5

4/5

Sine Half Angle

Ready to take big angles and cut them in half? In this quiz, you’ll explore the half-angle formula for sine, simplify tricky expressions, and calculate exact values for special angles. You’ll also learn how quadrant...

Questions: 20 | Attempts: 12 | Last updated: Dec 2, 2025

Sample Question 1
If cos θ = 4/5 and θ is in quadrant I, find sin(θ/2).

√5/5

2/√5

3/5

1/√10

Sample Question 2
Derive the formula for sin(θ/2) from the double-angle identity for cosine.

±√((1+cosθ)/2)

±√((1-cosθ)/2)

±√((1+sinθ)/2)

±√((1-sinθ)/2)

11th Grade Half Angle Formulas Quizzes, Questions & Answers

Top Trending Half Angle Formulas Quizzes

Recent Half Angle Formulas Quizzes