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Quiz

Year 2: Trigonometry in a right-angled triangle

10 questions with solutions for year 2: measuring angles, sin, cos, tan and cot of an acute angle, complementary angles, values for 30°, 45° and 60°, basic identities, solving right-angled triangles.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. How many degrees are π/3 radians?

2. sin 30° = ?

3. tan 45° = ?

4. Legs 3 and 4, hypotenuse 5. What is sin α if α is opposite the leg 3?

5. cos α = 0.6 and α is acute. What is sin α?

6. sin 20° = cos x°. What is x (an acute angle)?

7. sin²α + cos²α = ?

8. The hypotenuse is 10 cm and α = 30°. How long is the leg opposite α (in cm)?

9. A 4 m ladder makes a 60° angle with the floor. How far from the wall is its foot (in m)?

10. As the acute angle α grows from 0° to 90°, sin α: