12th Grade Half Angle Formulas Quizzes, Questions & Answers

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Half Angle Formulas Quizzes By Grade

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Top Trending Half Angle Formulas Quizzes

Trigonometry Identities: Mixed Practice

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: 10 | Last updated: Nov 25, 2025

Sample Question 1
Which formula expresses sin(θ/2)?

±√((1+cosθ)/2)

±√((1−cosθ)/2)

±√((1+sinθ)/2)

±√((1−sinθ)/2)

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

±√((1−sinθ)/2)

±√((1−cosθ)/2)

±√((1+sinθ)/2)

±√((1+cosθ)/2)

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: 10 | Last updated: Nov 25, 2025

Sample Question 1
Which formula expresses cos(θ/2)?

±√((1+cosθ)/2)

±√((1−cosθ)/2)

±√((1+sinθ)/2)

±√((1−sinθ)/2)

Sample Question 2
If cos θ = 3/5 and θ is in quadrant IV, find cos(θ/2).

2/√5

−2/√5

1/√5

−1/√5