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 a teacher, tutor, or parent can match the learner'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

Printable Grade 12 trigonometry worksheets, sized to fit one page. Download a free sample below, or pick beginner, intermediate, or advanced and generate a fresh pack with answer keys 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).

BeginnerRight triangle: a = 5, b = 12, c = 13, ∠C = 90°. cos B =Answer5/13
Intermediatesec 45° =Answer√2
AdvancedUse a compound angle formula to find the exact value of cos 105° (as 60° + 45°) =Answer(√2 − √6)/4

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

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These three sheets are fixed, so you can bookmark or share them and get the same page back. Answer keys and fresh numbers come with a free account.

Why Grade 12 trigonometry practice matters

A sound wave, a swinging pendulum, or anything that repeats in a cycle behaves like a sine curve, which is why trig ratios end up underneath physics and periodic motion, not just triangles the way the name suggests.

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 a teacher, tutor, or parent can match the learner'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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