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Find the trigonometric function of: 30° - Mathematics and Statistics

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Question

Find the trigonometric function of:

30°

Sum
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Solution

Angle of measure 30°:

  • Hypotenuse = 2 units

  • Side opposite 30° = 1 unit

  • Side adjacent to 30° = `sqrt3` units

Now use the definitions of trigonometric functions:

  1. sin 30° = opposite / hypotenuse = `1/2`
  2. cos 30° = adjacent / hypotenuse = `sqrt3/2`
  3. tan 30° = opposite / adjacent = `1/sqrt3`
  4. cot 30° = 1 / tan 30° = `sqrt3`
  5. sec 30° = 1 / cos 30° = `2/sqrt3`
  6. csc 30° = 1 / sin 30° = 2
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Trigonometric Functions of Specific Angles
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Chapter 2: Trigonometry - 1 - EXERCISE 2.1 [Page 21]

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