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NSWMaths AdvancedQuick questions
Year 12: Trigonometric Functions
Quick questions on Triangle trigonometry for HSC Maths Advanced: sine rule, cosine rule, area rule, elevation and depression, bearings and 3D applications
5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is the cosine rule?Show answer
When you cannot form a complete pair, the cosine rule takes over. For a side from two sides and the included angle (SAS):
What is the area rule?Show answer
The area of any triangle from two sides and the angle between them:
What are three-dimensional applications?Show answer
Three-dimensional problems look intimidating but are solved by the same two rules, applied to a flat triangle you isolate from the solid. The whole skill is choosing the right plane:
What is sign slip with an obtuse angle in the cosine rule?Show answer
For an angle between and , is negative, so the term becomes a positive number you add.
What is wrong calculator mode?Show answer
Maths Advanced triangle work is in degrees, not radians. A radian-mode answer is wildly wrong.
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