Trigonometry Problem Quiz

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Questions and Answers

What is the value of $sin heta + cos heta$ given in the problem?

  • $29$
  • $0.5$
  • $ rac{29}{1}$
  • $ rac{1}{29}$ (correct)

What is being asked to find in the problem?

  • The ratio of $sin heta + cos heta$ to $sin heta - cos heta$ (correct)
  • The product of $sin heta$ and $cos heta$
  • The difference between $sin heta$ and $cos heta$
  • The individual values of $sin heta$ and $cos heta$

If $sin heta + cos heta = rac{1}{29}$, what would be a plausible value for $sin heta - cos heta$?

  • $ rac{1}{30}$
  • $ rac{1}{31}$
  • $ rac{1}{32}$
  • $ rac{1}{29}$ (correct)

Which of these values is a possible outcome for $ rac{sin heta + cos heta}{sin heta - cos heta}$ if $sin heta + cos heta = rac{1}{29}$?

<p>$ rac{1}{41}$ (A), $ rac{1}{43}$ (D)</p> Signup and view all the answers

If $sin heta + cos heta = rac{1}{29}$, which statement is correct regarding the outcomes of $ rac{sin heta + cos heta}{sin heta - cos heta}$?

<p>It can take multiple values (B)</p> Signup and view all the answers

Flashcards

Trigonometric Equation

An equation involving trigonometric functions, like sine, cosine.

Given Expression

sinθ + cosθ = 1/29

Find

Calculate the value of (sinθ + cosθ) / (sinθ - cosθ)

Find the ratio

Divide (sinθ + cosθ) by (sinθ - cosθ)

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Result

The value of the expression (sinθ + cosθ) / (sinθ - cosθ) is identified from the options.

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Study Notes

Trigonometry Problem

  • Given: sinθ + cosθ = 1/29

  • Find: sinθ - cosθ

  • Possible solutions: 1/41, 1/43

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