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Common Trig Ratios :: Radians

Finding the exact values of sine, cosine and tangent of special angles.

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Give the exact value for the following trig ratios. Use the / symbol to show a fraction and the root button to insert the square root sign. For example sin 45° = 1/√2

\(\tan \frac{\pi}{4}\)

Correct Wrong

\(\sin \frac{\pi}{2}\)

Correct Wrong

\(\sin \frac{\pi}{6}\)

Correct Wrong

\(\cos \frac{\pi}{3}\)

Correct Wrong

\(\cos \frac{\pi}{2}\)

Correct Wrong

\(\cos 0\)

Correct Wrong

\(\cos \frac{\pi}{4}\)

Correct Wrong

\(\tan \frac{\pi}{3}\)

Correct Wrong

\(\tan \frac{\pi}{6}\)

Correct Wrong

\(\cos \frac{\pi}{6}\)

Correct Wrong

\(\sin \frac{\pi}{4}\)

Correct Wrong

\(\sin \frac{\pi}{3}\)

Correct Wrong

Check

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

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Description of Levels

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Surds - Make sure you understand what surds are before starting the levels below.

Level 1 - Find exact trig values for special angles up to and including pi by two radians

Level 2 - Find the indicated lengths by solving trigonometric questions with exact solutions

Level 3 - Mixed questions on exact trig values of special angles up to and including pi by two radians

Level 4 - Find exact trig values for angles between pi by two radians and two pi radians

Level 5 - Solving trigonometric equations with given domains

Degrees - A similar set of exercises worked in degrees.

If Then - Find one trig ratio if given another from the same triangle.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Trigonometry including visual aids, investigations and self-marking exercises.

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Reminder Video

Helpful Diagrams

Common Trig Ratios

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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