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Math · Trigonometry

Easy Trigonometry Drill

15 easy-difficulty ACT Math questions on Trigonometry. Each question is on its own page with a worked answer explanation, the underlying rule, and a quick study tip.

Easy Math Trigonometry

All 15 questions

  1. 1 Sine of a Special Angle What is sin(45°)? Easy
  2. 2 SOHCAHTOA — Sine in a Right Triangle In a right triangle, the side opposite angle θ has length 5 and the hypotenuse has length Easy
  3. 3 Pythagorean Identity What is the value of sin²(θ) + cos²(θ) for any angle θ? Easy
  4. 4 Tangent in a Right Triangle In a right triangle, the side opposite angle θ has length 5 and the side adjacent to θ has Easy
  5. 5 Sine of a Special Angle What is sin(60°)? Easy
  6. 6 SOHCAHTOA — Sine in a Right Triangle In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length Easy
  7. 7 Pythagorean Identity What is the value of sin²(θ) + cos²(θ) for any angle θ? Easy
  8. 8 Tangent in a Right Triangle In a right triangle, the side opposite angle θ has length 9 and the side adjacent to θ has Easy
  9. 9 Sine of a Special Angle What is sin(30°)? Easy
  10. 10 SOHCAHTOA — Sine in a Right Triangle In a right triangle, the side opposite angle θ has length 3 and the hypotenuse has length Easy
  11. 11 Pythagorean Identity What is the value of sin²(θ) + cos²(θ) for any angle θ? Easy
  12. 12 Tangent in a Right Triangle In a right triangle, the side opposite angle θ has length 9 and the side adjacent to θ has Easy
  13. 13 Sine of a Special Angle What is sin(45°)? Easy
  14. 14 SOHCAHTOA — Sine in a Right Triangle In a right triangle, the side opposite angle θ has length 8 and the hypotenuse has length Easy
  15. 15 Pythagorean Identity What is the value of sin²(θ) + cos²(θ) for any angle θ? Easy

How to use this drill

Open the questions one at a time. Read the prompt, decide on an answer before scrolling, then check the explanation. The point of a drill is not to "get the question right" — it's to internalize the rule so you can apply it cold under timed conditions on test day.

If you're missing more than a third of the questions in this set, drop down a difficulty tier and rebuild from there. If you're getting all of them quickly, jump up a tier and try a mixed drill across subtopics.

What "Easy" means here

Easy questions test foundational recognition. The rule being applied is one of the first three things you would teach in a unit, and there are no traps in the wrong answers — they are wrong for direct, obvious reasons. A student scoring around 22 composite should clear this tier with high accuracy.

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