## Exam-Style Question on Trigonometric Identities## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 61. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.

Consider a right-angled triangle, ABC, with the right angle at vertex C and where \(\sin A = \frac{12}{13}\)

(a) Show that \(\cos A = \frac{5}{13}\)

(b) Find \(\sin 2A\).

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