Back to MathematicsPractice this
Paper 2
Trigonometry
Higher
SOHCAHTOA turns triangles into marks fast.
Key Facts
- Pythagoras is your backup if two sides are known.
- Only use trig in right-angled triangles unless otherwise stated.
Key Equations
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
Topics Covered
SOHCAHTOA
What you need to know
- •sin = opp/hyp
- •cos = adj/hyp
- •tan = opp/adj
Exam Tips
- Label the triangle before choosing a trig ratio.
Exact Values
What you need to know
- •Know sin 30, cos 60, tan 45.
- •Use triangles to derive values.
Exam Tips
- Write exact values as fractions or surds.
Key Terms
Hypotenuse
Longest side of a right-angled triangle.
Opposite
Side opposite the angle.
Loading practice drills...
Common Exam Questions
Find the angle with opposite 9 and adjacent 12.
3 marksmediumPaper 2
Model Answer
θ = tan^-1(9/12) ≈ 36.9°
What examiners want to see
- ✓Use tan = opp/adj then inverse tan.
Find the opposite side when hypotenuse is 10 and angle is 35°.
3 marksmediumPaper 2
Model Answer
Opposite = 10 × sin 35 ≈ 5.7
What examiners want to see
- ✓Use sine with correct sides.
Related Topics
Other topics you might find useful