Sine, Cosine, Tan Ratios (Leaving Cert Mathematics): Flashcards

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Sine, Cosine, Tan Ratios
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Type of triangle for sin, cos, tan

Right-angled triangles only

Calculator test: sin⁡(30)\sin(30) equals

0.50.5

Calculator mode for degrees

DEG

Longest side opposite right angle

Hypotenuse (HH)

Side opposite angle θ\theta

Opposite (OO)

Side next to θ\theta (not hypotenuse)

Adjacent (AA)

Memory aid for trig ratios

SOHCAHTOA

Formula for sin⁡(θ)\sin(\theta)

OH\frac{O}{H}

Formula for cos⁡(θ)\cos(\theta)

AH\frac{A}{H}

Formula for tan⁡(θ)\tan(\theta)

OA\frac{O}{A}

Ratio using Opposite and Hypotenuse

Sine

Ratio using Adjacent and Hypotenuse

Cosine

Ratio using Opposite and Adjacent

Tangent

Function to find angle from ratio

Inverse function (e.g., sin⁡−1\sin^{-1})

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