3D Trigonometry (Edexcel GCSE Maths): Quizzes

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3D Trigonometry
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What is the main challenge in 3D trigonometry?

Visualising and identifying triangles

What is Step 1 of the 3-step method for finding angles between lines and planes?

Create a right-angled triangle

What is Step 2 of the 3-step method for line-to-plane angles?

Draw a 2D sketch with marked lengths

What is Step 3 of the 3-step method?

Use trigonometry to find the angle

When is the cosine rule particularly useful in 3D problems?

When you know 2 sides and angle between

What is Pythagoras' theorem?

a2+b2=c2a^2 + b^2 = c^2

What is the cosine rule formula?

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

What is the sine ratio?

sinθ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}

What is the tangent ratio?

tanθ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

What is the space diagonal formula for cuboids?

d=l2+w2+h2d = \sqrt{l^2 + w^2 + h^2}

What is the fundamental principle of 3D trigonometry compared to 2D?

It uses the same fundamental rules

Why are cuboids common in 3D trigonometry problems?

They have regular structure

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