Right-Angled Triangles (HSC SSCE Mathematics Standard): Quizzes

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Trigonometric Ratios
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Which side of a right-angled triangle is always the longest and opposite the right angle?

Hypotenuse

What is the correct formula for the sine ratio?

sinθ=oh\sin \theta = \frac{o}{h}

What is the correct formula for the cosine ratio?

cosθ=ah\cos \theta = \frac{a}{h}

What is the correct formula for the tangent ratio?

tanθ=oa\tan \theta = \frac{o}{a}

In SOH CAH TOA, what does 'CAH' help you remember?

Cosine = Adjacent/Hypotenuse

What is sin30°\sin 30° for all right-angled triangles containing a 30° angle?

0.5

In a triangle with sides 8, 15, and 17, where opposite = 8 and hypotenuse = 17, find sinθ\sin \theta.

817\frac{8}{17}

Which side labels can change depending on which angle you consider in a right-angled triangle?

Opposite and adjacent

What is tan45°\tan 45° for all right-angled triangles containing a 45° angle?

1

Given tanθ=68\tan \theta = \frac{6}{8}, which formula finds the hypotenuse before calculating sinθ\sin \theta?

h2=a2+o2h^2 = a^2 + o^2

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