3D trigonometry (OCR GCSE Maths): Flashcards

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3D trigonometry
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Key to solving 3D trig problems

Break into simpler 2D problems with right-angled triangles

Principles used in 3D trig (same as 2D)

Pythagoras' Theorem, Sin, Cos, Tan

Main challenge in 3D trigonometry

Spotting where the right-angled triangles are in 3D shape

First step to solve 3D trig problem

Draw it out flat to reduce to 2D

How to label triangle sides in trig

Hypotenuse (HH), Opposite (OO), Adjacent (AA)

Use for calculating side length in right-angled triangle

Pythagoras' Theorem

Use for calculating angles in right-angled triangles

Sin, Cos, Tan ratios

Pythagoras' Theorem formula

a2+b2=c2a^2 + b^2 = c^2 where cc is hypotenuse

Tangent ratio formula

tan(θ)=OppositeAdjacent\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}

How to convert 3D trig problem to 2D

Project the relevant triangle onto a flat plane

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