IB skill practice

Prove and use trigonometric identities

Use core trigonometric identities to connect exact ratios and justify each algebraic step.

Paper 1 5 marks Difficulty 2

Pythagorean identity practice

In a right-triangle setting, \(\sin\theta=\frac{5}{13}\). Use \(\sin^2\theta+\cos^2\theta=1\) to find \(\sin^2\theta\), \(\cos^2\theta\), and positive \(\cos\theta\).

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