IGCSE (0607) - Further Trigonometry

Given the triangle, find the area using the sine formula. Calculate to the nearest thousandth.

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CCSS.HSG.SRT.D.9

Which rule can be used for this triangle when looking for x?

• The Sine Rule
• The Cosine Rule
• The Area of a Triangle
• SOHCAHTOA

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

∠A = 28°, a = 10.5 m, b = 15.0 m

Does this triangle fit the "ambiguous case" and which explanation is best?

• no, because only one triangle exists for all measurements

• no, because the known angle corresponds to the shorter length

• yes, because the known angle corresponds to the shorter length

• yes, because length b could be the hypotenuse of a right-angled triangle

In this case of an ambiguous triangle, find the measure of ∠ADB (round to a whole number).

• 25°

• 10°

• 58°

• 122°

Use the Law of Cosines to find the value of x. 

• 41.7
• 51.7
• 61.7
• 71.7

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Based on the unit circle, what is the value of cos $\left(\theta\degree\right)$ ?

• the y-value of the Cartesian coordinate

• the x-value of the Cartesian coordinate

• the gradient of x/y

• the gradient of y/x

In the unit circle, sin  $\left(\theta\degree\right)$ is positive in:

• the 1st and 2nd quadrants

• the 1st and 3rd quadrants

• the 1st and 4th quadrants

• the 2nd and 3rd quadrants

The exact value of $\sin\left(90\degree\right)$ in the unit circle is:

• 0

• 1

• -1

• undefined

What is the exact value of  $\cos\left(210\degree\right)$  

• √3/2

• -√3/2

• 0.5

• -0.5