IB Maths AA HL 3.6 Trigonometric identities Question Bank

Practise IB Mathematics SL/HL 3.6 by applying trigonometric identities methods to exam-style questions.

Exam points

[Maximum number: 2]

Show that $\frac{1-\cos 2 x}{2 \sin x} \equiv \sin x, x \neq k \pi$ where $k \in \mathbb{Z}$ .

$\frac{1-\cos 2 x}{2 \sin x} \equiv \frac{1-\left(1-2 \sin ^{2} x\right)}{2 \sin x}$ $\equiv \frac{2 \sin ^{2} x}{2 \sin x}$ $\equiv \sin x$
AG

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