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6 Trigonometry
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AustraliaNSW
Stage 5.1-3

6.02 The trigonometric ratios

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Practice

Interactive practice questions

Which of the following is the opposite side to angle $\theta$θ?

A right-angled triangle has vertices labeled in a counterclockwise direction: vertex $A$A is positioned at the top, vertex $B$B at the bottom left, and vertex $C$C at the bottom right. At vertex $A$A, $angle(BAC)$angle(BAC) is labeled as $\alpha$α. At vertex $B$B, $angle(ABC)$angle(ABC) is labeled as $\theta$θ. At vertex $C$C, $angle(ACB)$angle(ACB) is the right angle denoted by a small square. The hypotenuse is the side $overline(AB)$overline(AB). Side $overline(BC)$overline(BC) is opposite to angle $\alpha$α. Side $overline(BC)$overline(BC) is adjacent to angle $\theta$θ. Side $overline(AC)$overline(AC) is opposite to angle theta. Side $overline(AC)$overline(AC) is adjacent to angle $\alpha$α. Side $overline(AC)$overline(AC) is not adjacent to angle $\theta$θ.

$AC$AC

A

$AB$AB

B

$BC$BC

C
Easy
< 1min

Which of the following is the opposite side to angle $\alpha$α?

Easy
< 1min

Which of the following is the adjacent side to angle $\theta$θ?

Easy
< 1min

Which of the following is the adjacent side to angle $\alpha$α?

Easy
< 1min
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Outcomes

MA5.1-10MG

applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression

MA5.2-13MG

applies trigonometry to solve problems, including problems involving bearings

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