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

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Finding an Unknown Side or Angle
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What does the 'TOA' in SOH CAH TOA represent?

tanθ=oa\tan \theta = \frac{o}{a}

To find an unknown angle in a right-angled triangle, what minimum information do you need?

Two sides

Which trig ratio uses the hypotenuse and opposite side?

Sine

Find xx if tan35°=x20\tan 35° = \frac{x}{20}. Give answer to 3 d.p.

14.00414.004

Find xx if sin34°=x25\sin 34° = \frac{x}{25}. Give answer to 2 d.p.

13.9813.98

To solve sin60°=2x\sin 60° = \frac{2}{x} for xx, what is the correct first step?

Multiply both sides by xx

Find xx if cos40°=12x\cos 40° = \frac{12}{x}. Give answer to 2 d.p.

15.6615.66

Find θ\theta to nearest degree if sinθ=1624\sin \theta = \frac{16}{24}.

42°42°

How many minutes are in one degree?

6060

What mode must your calculator be in when using trigonometric ratios?

Degree mode

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