IB skill practice

Use compound angle identities in proof

Apply compound angle identities to prove and simplify trigonometric statements.

Paper 1, Paper 2 5 marks Difficulty 4

Use compound angle identities in proof - proof structure

For acute angles \(A\) and \(B\), \(\sin A=5/13\), \(\cos A=12/13\), \(\sin B=7/25\), and \(\cos B=24/25\). Enter \(\sin(A+B)\).

Worked practice: result and interpretation

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