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Trigonometry test

A 10th-grade trigonometry test focusing on SOHCAHTOA, inverse trigonometric functions, and their applications. Students practice solving for side lengths and angles using question types such as direct calculation and conceptual multiple-choice questions.

By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New

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Questions

  1. In a right triangle, if the angle is 30° and the hypotenuse is 10 units, what is the length of the side opposite the angle?
  2. Which of the following expressions correctly use SOHCAHTOA to find the length of a side in a right triangle?
  3. The cosine of an angle in a right triangle is equal to the ratio of the adjacent side to the hypotenuse.
  4. What is the inverse trigonometric function used to find an angle when you know the opposite and adjacent sides?
  5. If tan θ = 3/4, what is θ (in degrees) rounded to the nearest whole number?
  6. Which trigonometric ratio would you use to find the hypotenuse if you know the adjacent side and the angle?
  7. Select all situations where you would use the sine function.
  8. If sin θ = 1, then θ must be 90° in a right triangle.
  9. What is the value of cos 0°?
  10. A ladder leans against a wall making a 60° angle with the ground. If the ladder is 8 feet long, how high up the wall does it reach? (Round to the nearest tenth)

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