Sine, Cosine and Tangent (Junior Cert Mathematics): Flashcards

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Sine, Cosine and Tangent
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What do sin, cos & tan relate?

Angles of triangle to lengths of its sides

Formula for sin(A)\sin(A)

sin(A)=OppositeHypotenuse\sin(A) = \frac{\text{Opposite}}{\text{Hypotenuse}}

Formula for cos(A)\cos(A)

cos(A)=AdjacentHypotenuse\cos(A) = \frac{\text{Adjacent}}{\text{Hypotenuse}}

Formula for tan(A)\tan(A)

tan(A)=OppositeAdjacent\tan(A) = \frac{\text{Opposite}}{\text{Adjacent}}

Opposite side location

Side directly across from Angle A

Adjacent side location

Side next to Angle A (not hypotenuse)

Hypotenuse characteristics

Longest side, opposite the right angle

When to use Sine

When opposite & hypotenuse are involved

When to use Cosine

When adjacent & hypotenuse are involved

When to use Tangent

When opposite & adjacent are involved

SOH-CAH-TOA meaning

Sin=Opp/Hyp, Cos=Adj/Hyp, Tan=Opp/Adj

What inverse cosine (cos1\cos^{-1}) does

Finds angle when sides are known

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