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

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Finding an Angle in a Right-Angled Triangle
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What does the superscript 1-1 in sin1\sin^{-1} indicate?

It's the inverse function

You know the opposite & hypotenuse. Which inverse function finds θ\theta after calculating the ratio?

sin1\sin^{-1}

How should you read sin1(0.8480)=58°\sin^{-1}(0.8480) = 58°?

The angle whose sine is 0.8480 equals 58°

What mode must your calculator be in when using inverse trig functions?

Degree mode

The two acute angles in a right-angled triangle sum to what value?

90°90°

What is the most critical step when finding an angle from two sides?

Correctly identifying which sides you have

Which is the correct way to enter sin1(1942)\sin^{-1}(\frac{19}{42}) in your calculator?

sin1(19/42)\sin^{-1}(19/42)

You know the adjacent & opposite sides. Which trig ratio should you use?

tanθ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

If one acute angle in a right triangle is 26.9°26.9°, what is the other acute angle?

63.1°63.1°

What are sin1\sin^{-1}, cos1\cos^{-1}, and tan1\tan^{-1} used for?

Finding angles from trigonometric ratios

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