Number
Number

Statistics and Probability
Statistics and Probability

Algebra
Algebra
Geometry and Measures
Mock Exams

4.5 Trigonometry

For the following right-angled triangles calculate the unknown angle θ to 1dp.

1.
RAT1
tan(θ) = Opp Adj tan(θ) = 5 6 θ = tan 1 ( 5 6 ) θ = 39.8°
2.
RAT2
sin(θ) = Opp Hyp sin(θ) = 10 15 θ = sin 1 ( 10 15 ) θ = 41.8°
3.
RAT3
cos(θ) = Adj Hyp cos(θ) = 10 15 θ = cos 1 ( 10 15 ) θ = 48.2°

Remember the SOHCAHTOA mnemonic

Remember the names of the sides of a right-angled triangle and apply ‘SOHCAHTOA’ to calculate the unknown angle.


Right-Angled-Triangle
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