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6 Trigonometry
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Australia
Year 9

6.01 The trigonometric ratios

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Worksheet
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: top vertex is labeled as $A$A, bottom-left vertex is labeled as $B$B, and bottom-right vertex is labeled as $C$C. At vertex $A$A, $angle(BAC)$angle(BAC) is labeled as $\alpha$α, and marked with a single blue arc. At vertex $B$B, $angle(ABC)$angle(ABC) is labeled as $\theta$θ, and marked with a double blue arc. At vertex $C$C, $angle(ACB)$angle(ACB) is the right angle denoted by a small square. The hypotenuse is the side $interval(AB)$interval(AB),and is opposite vertex $C$C. Horizontal side $interval(BC)$interval(BC) is opposite of vertex $A$A. Vertical side $interval(AC)$interval(AC) is opposite of vertex $B$B.

$AC$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

ACMMG223

Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles

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