# Common Trig Ratios :: Degrees

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

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For the first six questions evaluate the expressions. For the final six questions find $$x$$ where $$0 \le x \le 90$$.

 $$2\cos30° \times 3\tan30°$$ $$\tan60° \div \tan30°$$ $$\sin60° \times \tan60° + \cos60°$$ $$12( \sin45°)^2 \times ( \cos45°)^2$$ $$\left(\frac{5\sin60°}{\cos30°}\right)^2$$ $$\frac{7\tan45°}{\sin30°}$$ $$\sin x° + 1 = \tan 60° \times \cos 30°$$ $$x=$$ $$\cos x° = \tan 30° \times \sin 60°$$ $$x=$$ $$( \sin x°)^2 = 3( \cos 60°)^2$$ $$x=$$ $$\sin 45° \div \cos x° = 1$$ $$x=$$ $$\tan x° = \sin 60° \div \cos 30° \$$ $$x=$$ $$3\sin x° = 2\cos 30° \times \tan 60°$$ $$x=$$
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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 ninety degrees

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 ninety degrees

Level 4 - Find exact trig values for angles between ninety and three hundred and sixty degrees

Level 5 - Solving trigonometric equations with given domains

Radians - A similar set of exercises worked in radians.

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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