12th Grade Half Angle Formulas Quizzes, Questions & Answers

12th Grade

Top Trending Half Angle Formulas Quizzes

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: 16 | Last updated: Jan 19, 2026

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

Sample Question 3
If θ = 150°, compute cos(θ/2) exactly.

√3/2

1/2

√2/2

(√6 − √2)/4

Recent Half Angle Formulas Quizzes

Trigonometry Identities: Mixed Practice

Questions: 20 | Attempts: 15 | 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)