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

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Sine, Cosine, Tan Ratios
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To which type of triangle do Sin, Cos, and Tan ratios apply?

Right-angled triangles only

What should sin⁡(30)\sin(30) equal if your calculator is in the correct mode?

0.50.5

Which side of a right-angled triangle is the hypotenuse (HH)?

Longest side opposite the right angle

What is the opposite side (OO) in a right-angled triangle?

Side directly opposite angle θ\theta

What is the adjacent side (AA) in a right-angled triangle?

Side next to θ\theta, not hypotenuse

What is the formula for sin⁡(θ)\sin(\theta)?

OppositeHypotenuse\frac{\text{Opposite}}{\text{Hypotenuse}}

What is the formula for cos⁡(θ)\cos(\theta)?

AdjacentHypotenuse\frac{\text{Adjacent}}{\text{Hypotenuse}}

What is the formula for tan⁡(θ)\tan(\theta)?

OppositeAdjacent\frac{\text{Opposite}}{\text{Adjacent}}

In SOHCAHTOA, what does 'SOH' represent?

Sin = Opposite / Hypotenuse

You know the opposite and hypotenuse. Which ratio do you use to find angle θ\theta?

Sin

You know adjacent and angle θ\theta. Which ratio finds the hypotenuse?

Cos

What are the four steps before solving a trigonometry problem?

Label, Tick, Tick, Decide

To find angle θ\theta when you know sin⁡(θ)=0.75\sin(\theta) = 0.75, what function do you use?

sin⁡−1\sin^{-1}

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