3D Trigonometry (AQA GCSE Maths): Flashcards

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3D Trigonometry
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Principles used in 3D trig vs 2D trig

Same fundamental principles

Key strategy for 3D trig problems

Break down into simpler 2D triangles

Step 1 of three-step method for line-plane angles

Create a right-angled triangle

Step 2 of three-step method for line-plane angles

Draw a 2D sketch and mark side lengths

Step 3 of three-step method for line-plane angles

Apply trigonometry to find the angle

Theorem often needed to find missing side lengths in 3D

Pythagoras' theorem

Do sine and cosine rules work in 3D?

Yes, they work perfectly well in 3D

Cosine rule formula

a2=b2+c22bccosAa^2 = b^2 + c^2 - 2bc \cos A

Why cuboids are ideal for learning 3D trig

They naturally create right-angled triangles

Common mistake in 3D trig problems

Trying to solve directly in 3D instead of breaking into 2D

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