Strengthen your understanding of trigonometric concepts and problem-solving techniques with this Basic Trigonometry Practice Test. Trigonometry is a fundamental branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right-angled triangles. A solid grasp of these relationships will help you in higher mathematics, physics, engineering, and various entrance or qualifying exams.
This online quiz is designed to test and enhance your skills in applying the primary trigonometric ratios — sine (sin), cosine (cos), and tangent (tan), as well as your ability to solve practical problems involving height, distance, and angle measurements.
Click the START QUIZ button below to begin your Basic Trigonometry Practice Test. ead each question carefully and choose the correct answer from the given options. Correct answers will be shown in green, and incorrect ones in red.
About the Test
The test is composed of 25 multiple-choice questions focused on fundamental trigonometric concepts and their applications. You will encounter problems that require you to:
- Identify trigonometric ratios in right-angled triangles
- Use sin, cos, and tan to find missing sides or angles
- Apply inverse trigonometric functions to determine unknown measures
- Understand and use Pythagorean identities
- Solve real-world word problems involving height and distance
- Recognize relationships between complementary angles
Each question is crafted to help you strengthen your conceptual foundation and improve your mathematical reasoning.
Tips for Answering Trigonometry Questions
- Memorize the basic trigonometric ratios:
- sin(θ) = opposite / hypotenuse
- cos(θ) = adjacent / hypotenuse
- tan(θ) = opposite / adjacent
- Use SOH-CAH-TOA as your quick guide to recall ratios correctly.
- Always draw a triangle to visualize the problem. Label sides and angles before solving.
- Check if the given triangle is right-angled. Trigonometric ratios apply directly only to right triangles.
- Use the Pythagorean Theorem (a² + b² = c²) when two sides are known and one is missing.
- Be careful with angle placement. Sine and cosine swap roles depending on which angle is being referred to.
Final Reminder
Before taking this quiz, ensure that you’re familiar with the basic formulas and relationships between sides and angles. During actual exams, read each question thoroughly and sketch the problem whenever possible. Always start by identifying what is given and what is being asked. Use logical reasoning — not guesswork — to find the correct ratio or formula that applies.
With consistent practice, trigonometry becomes easier and even enjoyable. Take your time, stay focused, and apply what you’ve learned.