IB skill practice

Use trigonometric substitutions

Recognise and apply trigonometric substitutions in geometric or calculus contexts.

Paper 1, Paper 2 5 marks Difficulty 5

Use trigonometric substitutions - formula selection

For \(\sqrt{6^{2}-x^{2}}\), use the substitution \(x=a\sin\theta\). Enter the coefficient \(a\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.