Geometry & MeasuresLow Exam FrequencyAQAEdexcelOCRWJEC

3D Trigonometry

Revise 3D Trigonometry in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 2 flashcards. This topic appears less often, but it can still pick up marks when it appears in mixed-topic papers.

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Breaking Down 3D

Introduction 2

Key Facts

Key Facts 3

Method: Solving 3D Trig Problems

Deep Dive 4

Worked Example: Space Diagonal of a Cuboid

Notes 5

Exam Tips

Sample Flashcards

3D Pythagoras Formula

d² = x² + y² + z² for a space diagonal through a cuboid with dimensions x, y, z

Key Strategy for 3D Trig

Find the right-angled triangles hidden in the 3D shape. Often you need to find the BASE DIAGONAL first!

Sample Questions

To find the angle between a line and a horizontal plane in a 3D problem, which technique is typically used?

A. Calculate the 3D distance directly using one formula
B. Identify a right-angled triangle and apply SOHCAHTOA
C. Use the cosine rule only
D. Use the sine rule with the bearing angle

1 markfoundation

Describe the general method for finding the angle between a line and a plane in a 3D problem.

3 marksstandard

exam-style questions

revision flashcards

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