NZ Level 7 (NZC) Level 2 (NCEA)
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Applications of the Sine Rule

Interactive practice questions

Consider the given triangle.


First, find the value of $\angle BAC$BAC.


Find the length of $c$c.

Round your answer to two decimal places.

Approx 3 minutes
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Consider the following diagram:

Use the sine rule to prove that the area of $\triangle ABC$ABC is given by the equation $Area=\frac{a^2\sin B\sin C}{2\sin A}$Area=a2sinBsinC2sinA.

We want to prove that the area of a parallelogram is the product of two adjacent sides and the sine of the included angle.



Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions


Apply trigonometric relationships in solving problems

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