In the diagram, $AD\perp BC$, $CD=4$, $BD=2$, $AD=3$, $\angle CAD=\alpha$, and \(\angle BA

Question

In the diagram, $AD\perp BC$, $CD=4$, $BD=2$, $AD=3$, $\angle CAD=\alpha$, and $\angle BAD=\beta$. Find $\tan(2\alpha)$.[2] Find $\sin(\alpha-\beta)$.[3] Find $\sin(\arctan\frac23)$.[2]

Accepted Answer

(a) $-\frac{24}{7}$. (b) $\frac{6\sqrt{13}}{65}$. (c) $\frac{2\sqrt{13}}{13}$.

IB Math HL Trigonometry Test 3 2014 P1 Q1

IB Math HL Trigonometry Test 3 2014 P1 Q1

Solution:

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