Solving Right-Angled Triangles (Leaving Cert Mathematics): Flashcards

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Solving Right-Angled Triangles
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Solving right-angled triangles

Using trig ratios to find unknown sides or angles

Min. info needed to solve right-angled triangle

Two pieces of information

sin⁡θ\sin θ formula

sin⁡θ=oppositehypotenuse\sin θ = \frac{\text{opposite}}{\text{hypotenuse}}

cos⁡θ\cos θ formula

cos⁡θ=adjacenthypotenuse\cos θ = \frac{\text{adjacent}}{\text{hypotenuse}}

tan⁡θ\tan θ formula

tan⁡θ=oppositeadjacent\tan θ = \frac{\text{opposite}}{\text{adjacent}}

SOH in SOH-CAH-TOA

Sine = Opposite ÷ Hypotenuse

CAH in SOH-CAH-TOA

Cosine = Adjacent ÷ Hypotenuse

TOA in SOH-CAH-TOA

Tangent = Opposite ÷ Adjacent

Hypotenuse in right-angled triangle

Longest side, opposite the right angle

When to use inverse trig functions

When you know two sides and want to find an angle

Decimal places for trig ratios (calculator)

4 decimal places

Calculator mode for trig problems

Degree mode (not radians)

Hypotenuse formula using cos⁡θ\cos θ

adjacentcos⁡θ\frac{\text{adjacent}}{\cos θ}

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