Year 13 further trigonometry quiz to download as PDF

This Year 13 further trigonometry quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 13 further trigonometry quiz: the 10 questions

Write sec x in terms of cos x.
What is sec^2 x - tan^2 x?
Express sin 2x in terms of sin x and cos x.
Exact value of cos 2x when sin x=1/2?
What is the maximum value of 6 sin x + 8 cos x?
Small angle: sin 0.02 is approximately?
What is cot 45 degrees?
Exact value of cosec 90 degrees.
What is tan 2x if tan x=1/2? Give as a fraction.
Do the graphs of sec x take values between -1 and 1? (yes or no)

How to use this Year 13 further trigonometry quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the further trigonometry lesson and try again later. After that, try the multiple choice questions or the further trigonometry worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.