Trigonometry

Radian measure, the unit circle, graphs of trigonometric functions, identities and equations.

16 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Convert 60° to radians. Give your answer as a decimal.
  2. Convert π/4 radians to degrees.
  3. A circle has radius 5.0 cm. What is the arc length subtended by a central angle of 1.2 radians?
  4. What is the exact value of sin 30°? Give your answer as a decimal.
  5. What is the period of y = sin 2x, in radians?
  6. What is the amplitude of y = 3 sin x − 2?
  7. What is the reference angle for 150°, in degrees?
  8. If sin θ = 0.6 and θ is in the first quadrant, what is cos θ?
  9. How many solutions does sin θ = 1/2 have on the interval 0 ≤ θ < 2π?
  10. In which quadrants is the cosine function negative?
  11. Which expression is equivalent to tan θ?
  12. For the function y = 2 sin(3(x − π/4)) + 1, which statements are correct? Select all that apply.
  13. A Ferris wheel has a radius of 12 m and its centre is 15 m above the ground. It turns steadily, completing one full revolution every 40 seconds. A rider boards at the lowest point. How high above the ground is the rider 25 seconds later, in metres, rounded to one decimal place?
  14. Convert 135° to radians. Give your answer as a decimal, rounded to two decimal places.
  15. Convert 3π/2 radians to degrees.
  16. One full rotation around a circle measures how many radians?

Answer these free