Half Angle Formulas Quizzes, Questions & Answers

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Top Trending Half Angle Formulas Quizzes

Can you put it all together? In this final quiz, you’ll tackle sine, cosine, and tangent half-angle identities side by side. From proofs and simplifications to exact evaluations and quadrant checks, it’s a full...

Questions: 20 | Attempts: 13 | Last updated: Jan 19, 2026

Sample Question
Which formula expresses sin(θ/2)?

±√((1+cosθ)/2)

±√((1−cosθ)/2)

±√((1+sinθ)/2)

±√((1−sinθ)/2)

Tangent Half Angle

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: Jan 19, 2026

Sample Question
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)

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: Jan 19, 2026

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

√5/5

2/√5

3/5

1/√10

Cosine Half Angle

Did you know you can find the cosine of half an angle using only the full angle? In this quiz, you’ll practice applying and proving the half-angle formula for cosine, while working with exact values, identities, and...

Questions: 20 | Attempts: 11 | Last updated: Jan 19, 2026

Sample Question
Which formula expresses cos(θ/2)?

±√((1+cosθ)/2)

±√((1−cosθ)/2)

±√((1+sinθ)/2)

±√((1−sinθ)/2)

Half Angle Formulas Quizzes, Questions & Answers

Top Trending Half Angle Formulas Quizzes

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