$ABC$ is a triangle in which $B\hat{A}C = 90^\circ$, $AC = 40$ cm and $BC = 41$ cm. $AB$ i

Question

$ABC$ is a triangle in which $B\hat{A}C = 90^\circ$, $AC = 40$ cm and $BC = 41$ cm. $AB$ is produced to $P$ and $AC$ is produced to $Q$. Showing your workings clearly, explain why $AB = 9$ cm. Express as a fraction in its simplest form, $\tan B\hat{C}A$, $\sin P\hat{B}C$, $\cos B\hat{C}Q$.

Accepted Answer

(a) $AB=9\text{ cm}$ (b)(i) $\frac9{40}$ (b)(ii) $\frac{40}{41}$ (b)(iii) $-\frac{40}{41}$

IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q2

IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q2

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