Exact trigonometric values

Sample Exact trigonometric values questions

A few of the 48 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 2
   Write down the value of $\sin 45°$.
   Show the worked solution

   sin 45° = √2/2 (an exact value that should be memorised, from a 45-45-90 triangle with legs 1 and hypotenuse √2).
2. Question 22 marksGrade 4
   Here is a sketch of $y = \cos x$

What are the common mistakes in Exact trigonometric values?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Gives a rounded decimal answer where an exact form (fraction, surd, or multiple of pi) was required

  Gave a rounded decimal (0.87) instead of the required exact surd/fraction form

• Mixes up the exact values of sine and cosine for a standard angle

  Mixed up $\sin(30°)$ and $\cos(30°)$ - these two are easy to confuse since they're complementary ($\sin(30°)=\cos(60°)$

Quick answers about Exact trigonometric values

How many Exact trigonometric values practice questions are there?

There are 48 self-marking GCSE and IGCSE Maths questions on Exact trigonometric values, written for AQA, Pearson, OCR, Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Exact trigonometric values?

No. You can start practising Exact trigonometric values straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.