Trigonometry - Trigonometry in Two and Three Dimensions

Trigonometry - Trigonometry in Two and Three Dimensions

Secondary 3
  1. The trigonometric concepts you have learned so far is often applied to solve \(3\)-D problems.
  2. Let’s recall all the trigonometric concepts you have learned thus far.

RIGHT-ANGLED TRIANGLES

  • Trigonometric Ratios: TOA CAH SOH

  • Pythagoras Theorem

ANY TYPES OF TRIANGLES

  • Sine Rule

  • Cosine Rule

The technique is to

  1. If the degree of accuracy is not specified in the question, and if the answer is not exact, correct to \(3\) significant figures. Answer in degree, give to \(1\) decimal place.

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Answer:Use trigonometric ratios or Pythagoras' theorem for right-angled triangles, and the sine or cosine rule for non-right-angled triangles. Reduce a \(3\)-D problem to suitable \(2\)-D planes. Unless otherwise stated, give non-exact answers to \(3\) significant figures and angles to \(1\) decimal place.

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