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Pythagoras and Trigonometry
Edexcel GCSE Mathematics (1MA1) — Geometry and Measures
What You Need to Know
Apply Pythagoras’ theorem
a
2
+
b
2
=
c
2
a^2 + b^2 = c^2
a
2
+
b
2
=
c
2
.
Use trigonometric ratios:
sin
θ
=
opposite
hypotenuse
\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}
sin
θ
=
hypotenuse
opposite
,
cos
θ
=
adjacent
hypotenuse
\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}
cos
θ
=
hypotenuse
adjacent
, and
tan
θ
=
opposite
adjacent
\tan \theta = \frac{\text{opposite}}{\text{adjacent}}
tan
θ
=
adjacent
opposite
.
Find angles and lengths in right-angled triangles.
Apply these concepts to general triangles in two and three-dimensional figures.
Revision Notes
1
Pythagoras' Theorem
8 key terms
2
Right-Angled Trigonometry
9 key terms
3
Trigonometry and Pythagoras in 2D and 3D
11 key terms
Practise with Past Papers
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Exact Trigonometric Values
