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Please help, I legit am not sure what I'm supposed to do ​

Please help, I legit am not sure what I'm supposed to do ​-example-1
User Meaka
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1 Answer

5 votes

Recall definitions:

  • cosine = adjacent/hypotenuse
  • sine = opposite/hypotenuse
  • tangent = opposite/adjacent

Use the triangle to define each ratio.

Use Pythagorean theorem:

  • a² + b² = c²

Question 1

  • (sin B)² + (cos B)² =
  • (b/c)² + (a/c)² =
  • b²/c² + a²/c² =
  • (a² + b²)/c² =
  • c²/c² =
  • 1

Proved

Question 2

  • 1/(cos A)² - (tan A)² =
  • 1/(b/c)² - (a/b)² =
  • c²/b² - a²/b² =
  • (c² - a²)/b² =
  • b²/b² =
  • 1

Proved

User TemaTre
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