IB skill practice

Solve right-triangle trigonometry problems

Use sine, cosine, and tangent ratios in labelled right-triangle diagrams and explain the side relationships.

Paper 1 5 marks Difficulty 2

Find exact right-triangle ratios

For an angle \(\theta\), the opposite side is \(5\), adjacent side is \(12\), and hypotenuse is \(13\). Find \(\sin\theta\), \(\cos\theta\), and \(\tan\theta\).

Worked practice: right-triangle ratios

Use opposite, adjacent, and hypotenuse consistently for each trigonometric ratio.