Tangent Half Angle

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1) Which of the following is not a valid formula for tan(θ/2)?
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About This Quiz
Tangent Half Angle - Quiz

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 expressions, solve exact values, and see how tangent half-angle ties into the bigger trig picture. Try this quiz for a challenge that sharpens you... see morealgebra and trig reasoning. see less

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2) If tan θ = 3/4, find tan(θ/2).
Submit
3) Evaluate tan(75°/2) exactly.
Submit
4) If cos θ = 0.6 and θ is in quadrant I, compute tan(θ/2).
Submit
5) Simplify (1 - cos θ)/sin θ.
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6) Simplify sin θ / (1 + cos θ).
Submit
7) If θ = 210°, determine the sign of tan(θ/2).
Submit
8) If cos θ = -5/13 and θ is in quadrant II, find tan(θ/2).
Submit
9) If tan θ = 5/12, find tan(θ/2).
Submit
10) If tan(θ/2) = 2/3 and θ/2 is in quadrant I, find tan θ.
Submit
11) If sin θ = 24/25 in quadrant I, find tan(θ/2).
Submit
12) If cos θ = 0 and 0 < θ < π, what is tan(θ/2)?
Submit
13) If cos θ = 12/13 and θ is in quadrant IV, find tan(θ/2).
Submit
14) If tan θ = 1 and θ is in quadrant I, compute tan(θ/2).
Submit
15) If θ = 300°, compute tan(θ/2).
Submit
16) If sin(θ) = 24/25 in quadrant I, find tan(θ/2).
Submit
17) Evaluate tan(67.5°) exactly.
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18) If cos(θ) = 0, what is tan(θ/2)?
Submit
19) If cos(θ) = 12/13 and θ is in quadrant IV, find tan(θ/2).
Submit
20) If tan(θ) = 1, compute tan(θ/2).
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Which of the following is not a valid formula for tan(θ/2)?
If tan θ = 3/4, find tan(θ/2).
Evaluate tan(75°/2) exactly.
If cos θ = 0.6 and θ is in quadrant I, compute tan(θ/2).
Simplify (1 - cos θ)/sin θ.
Simplify sin θ / (1 + cos θ).
If θ = 210°, determine the sign of tan(θ/2).
If cos θ = -5/13 and θ is in quadrant II, find...
If tan θ = 5/12, find tan(θ/2).
If tan(θ/2) = 2/3 and θ/2 is in quadrant I, find tan...
If sin θ = 24/25 in quadrant I, find tan(θ/2).
If cos θ = 0 and 0 < θ < π, what is...
If cos θ = 12/13 and θ is in quadrant IV, find...
If tan θ = 1 and θ is in quadrant I, compute...
If θ = 300°, compute tan(θ/2).
If sin(θ) = 24/25 in quadrant I, find tan(θ/2).
Evaluate tan(67.5°) exactly.
If cos(θ) = 0, what is tan(θ/2)?
If cos(θ) = 12/13 and θ is in quadrant IV, find tan(θ/2).
If tan(θ) = 1, compute tan(θ/2).
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