Trigonometry in two dimensions (AQA GCSE Further Maths): Quizzes

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Trigonometry in two dimensions
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What is the formula for sin⁡θ\sin \theta in a right-angled triangle?

oppositehypotenuse\frac{\text{opposite}}{\text{hypotenuse}}

What is the formula for cos⁡θ\cos \theta in a right-angled triangle?

adjacenthypotenuse\frac{\text{adjacent}}{\text{hypotenuse}}

What is the formula for tan⁡θ\tan \theta in a right-angled triangle?

oppositeadjacent\frac{\text{opposite}}{\text{adjacent}}

In SOHCAHTOA, what does TOA represent?

tan⁡=oppositeadjacent\tan = \frac{\text{opposite}}{\text{adjacent}}

Which side in a right-angled triangle is the hypotenuse?

The longest side opposite the right angle

To find the opposite side when you know the hypotenuse and angle, which ratio should you use?

Sine

Which functions are used to find angles when you know two sides of a right triangle?

sin⁡−1\sin^{-1}, cos⁡−1\cos^{-1}, tan⁡−1\tan^{-1}

How is an angle of depression measured?

Downward from horizontal

What is the exact value of tan⁡45°\tan 45°?

11

What is the exact value of tan⁡60°\tan 60°?

3\sqrt{3}

What is the exact value of sin⁡30°\sin 30°?

12\frac{1}{2}

What is the first step in a systematic approach to trigonometry problems?

Draw a clear diagram with all known info

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