Applications of Right-Angled Triangles (VCE SSCE General Mathematics): Flashcards

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Applications of Right-Angled Triangles
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3 skills for solving right-angled triangle problems

Draw diagrams, identify sides/angles, select trig function

Opposite side

Side across from the angle

Adjacent side

Side next to angle (not hypotenuse)

Hypotenuse

Longest side, opposite right angle

tanθ\tan \theta formula

oppositeadjacent\frac{\text{opposite}}{\text{adjacent}}

sinθ\sin \theta formula

oppositehypotenuse\frac{\text{opposite}}{\text{hypotenuse}}

cosθ\cos \theta formula

adjacenthypotenuse\frac{\text{adjacent}}{\text{hypotenuse}}

When to use trig ratios (sin, cos, tan)

To find side when you know one angle and one side

When to use inverse trig functions

To find angle when you know two side lengths

How to minimize rounding errors

Calculate whole expression in one step, not separate parts

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