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Trigonometry Essentials: Sine, Cosine, and Tangent Explained

Explore the fundamental concepts of trigonometry, including sine, cosine, and tangent functions, along with solving for unknown angles. Understand the relationships between hypotenuse, opposite, and adjacent sides in right triangles. Test your knowledge with practice problems and master the SOHCAHTOA mnemonic. Discover the fascinating world of trigonometry and enhance your mathematical skills today.

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Trigonometry Essentials: Sine, Cosine, and Tangent Explained

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  1. 1. Opener a) Solve all three: b) Solve for b: c) What is the only fruit that grows its seeds on the outside? 21 15 22° 22° 14 b

  2. 34° 2. Trigonometry Sine, Cosine, and Tangent hypotenuse opposite adjacent

  3. 34° 2. Trigonometry Sine, Cosine, and Tangent hypotenuse opposite adjacent

  4. opposite opposite adjacent = = = hypotenuse hypotenuse adjacent 34° 2. Trigonometry Sine, Cosine, and Tangent sine hypotenuse opposite cosine adjacent tangent

  5. 2. Trigonometry Memory Tool. SOHCAHTOA

  6. o sin(34°) o a tan(34°) cos(34°) = = = = = = h a h 34° 2. Trigonometry Find all the trig functions. .5591 25.54 14.28 .8289 21.17 .6745

  7. 1. Sine, Cosine, or Tangent? 14 6 2. Trigonometry sine

  8. 2. Trigonometry 2. Sine, Cosine, or Tangent? 10 6 cosine

  9. 2. Trigonometry 3. Sine, Cosine, or Tangent? 17 7 cosine

  10. 2. Trigonometry 4. Sine, Cosine, or Tangent? 5 15 tangent

  11. 2. Trigonometry 5. Sine, Cosine, or Tangent? 7 6 tangent

  12. 2. Trigonometry 6. Sine, Cosine, or Tangent? 10 4 cosine

  13. 2. Trigonometry 7. Sine, Cosine, or Tangent? 13 9 sine

  14. 2. Trigonometry

  15. x 25.54 72° 2. Trigonometry Solve for x.

  16. x 13 24 2. Trigonometry Solve for x.

  17. 2. Trigonometry a) Do these triangles involve sine, cosine, or tangent? b) Pick two and solve for x. c) What is the only mammal that can’t jump? x 32 x 5 x 22° 14 27 40 cosine sine tangent x = 15.1 x = 57.5° x = 7.1°

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