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

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Trigonometric Ratios
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Three main trigonometric ratios

sinθ\sin \theta, cosθ\cos \theta, tanθ\tan \theta

Hypotenuse of right-angled triangle

Longest side, opposite the right angle

Opposite side in relation to θ\theta

Side opposite to angle θ\theta

Adjacent side in relation to θ\theta

Side next to θ\theta, not hypotenuse

Sine ratio formula

sinθ=oh\sin \theta = \frac{o}{h}

Cosine ratio formula

cosθ=ah\cos \theta = \frac{a}{h}

Tangent ratio formula

tanθ=oa\tan \theta = \frac{o}{a}

SOH CAH TOA mnemonic meaning

Sine=Opp/Hyp, Cosine=Adj/Hyp, Tangent=Opp/Adj

Property of trig ratios for same angle

Remain constant regardless of triangle size

Pythagoras' theorem for right triangle

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

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