Finding an Unknown Side or Angle (HSC SSCE Mathematics Standard): Flashcards

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Finding an Unknown Side or Angle
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SOH CAH TOA mnemonic meaning

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

Info needed to find unknown side

One angle (besides right angle) and one side

Info needed to find unknown angle

Two sides

Formula for sinθ\sin \theta

oh\frac{o}{h} (opposite/hypotenuse)

Formula for cosθ\cos \theta

ah\frac{a}{h} (adjacent/hypotenuse)

Formula for tanθ\tan \theta

oa\frac{o}{a} (opposite/adjacent)

Required calculator mode for trig calculations

Degree mode

Steps when unknown xx is in denominator

Multiply both sides by xx, then divide by trig expression

Functions to find unknown angle from sides

Inverse trig: sin1\sin^{-1}, cos1\cos^{-1}, tan1\tan^{-1}

Minutes in one degree

60 minutes

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