Finding an Angle in a Right-Angled Triangle (VCE SSCE General Mathematics): Flashcards

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Finding an Angle in a Right-Angled Triangle
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Purpose of inverse trig functions

Find angles from trigonometric ratio values

Three inverse trig functions

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

Meaning of -1 in sin1\sin^{-1}

Inverse function, NOT a power or exponent

Read: sin1(0.8480)=58°\sin^{-1}(0.8480) = 58°

The angle whose sine is 0.8480 equals 58°

Use sin1\sin^{-1} when you know...

Opposite and hypotenuse sides

Use cos1\cos^{-1} when you know...

Adjacent and hypotenuse sides

Use tan1\tan^{-1} when you know...

Opposite and adjacent sides

Sum of two acute angles in right triangle

90°90°

Calculator mode for trig calculations

Degree mode, not radian mode

Entering sin1(1942)\sin^{-1}(\frac{19}{42}) on calculator

Use brackets: sin1(19/42)\sin^{-1}(19/42) not sin1(19)/42\sin^{-1}(19)/42

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