What's on a Grade 12 trigonometry worksheet?

Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.

A memory aid: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Exactly 1/2, one of the special-angle values worth memorising.

Why do some answers have a ≈ instead of =?

Only the 5 special angles (0°, 30°, 45°, 60°, 90°) have exact values. Every other angle, and every sine-law or cosine-law answer, is evaluated with a calculator and rounded, so its answer is an approximation, marked with ≈.

When do I use the sine law vs. the cosine law?

Sine law when you know two angles and a side (or two sides and a non-included angle). Cosine law when you know two sides and the included angle, or all three sides.

What are csc, sec, and cot?

The reciprocal trig ratios: csc θ = 1/sin θ, sec θ = 1/cos θ, cot θ = 1/tan θ.

How do you find the exact value of sin 15°?

15° isn't a special angle, but it's 45° − 30°, both of which are. Use the compound angle formula sin(A − B) = sinA cosB − cosA sinB with A=45° and B=30° to get sin 15° = (√6 − √2)/4.

Grade 12 · Trigonometry

Grade 12 Trigonometry Worksheets

Free printable Grade 12 trigonometry worksheets, each with an answer key and sized to fit one page. Pick beginner, intermediate, or advanced and generate a fresh pack in seconds. No AI, no wrong answers.

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Grade 12 examples by level

Some answers are exact values; others are rounded (calculator approximations).

Beginnersin 45° =√2/2
Intermediatesec 45° =√2
AdvancedUse a compound angle formula to find the exact value of cos 105° (as 60° + 45°) =(√2 − √6)/4

Real problems from the generator: always mathematically correct, and every pack is different.

Why Grade 12 trigonometry practice matters

Trig ratios underpin geometry, physics, waves, and the entire study of periodic functions in senior math; the sine and cosine laws extend that reach beyond right triangles to any triangle.

Grade 12 is the most advanced trigonometry practice Mathter offers, building on what's covered in Grade 11.

Want the full method, tips, and common mistakes? Read the Trigonometry Worksheets guide.

Frequently asked questions

What's on a Grade 12 trigonometry worksheet?: Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.
What is SOH-CAH-TOA?: A memory aid: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
What is sin 30°?: Exactly 1/2, one of the special-angle values worth memorising.
Why do some answers have a ≈ instead of =?: Only the 5 special angles (0°, 30°, 45°, 60°, 90°) have exact values. Every other angle, and every sine-law or cosine-law answer, is evaluated with a calculator and rounded, so its answer is an approximation, marked with ≈.
When do I use the sine law vs. the cosine law?: Sine law when you know two angles and a side (or two sides and a non-included angle). Cosine law when you know two sides and the included angle, or all three sides.
What are csc, sec, and cot?: The reciprocal trig ratios: csc θ = 1/sin θ, sec θ = 1/cos θ, cot θ = 1/tan θ.
How do you find the exact value of sin 15°?: 15° isn't a special angle, but it's 45° − 30°, both of which are. Use the compound angle formula sin(A − B) = sinA cosB − cosA sinB with A=45° and B=30° to get sin 15° = (√6 − √2)/4.

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