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Alina [70]
3 years ago
12

Find the approximate value of each trigonometric function.

Mathematics
2 answers:
Hunter-Best [27]3 years ago
6 0

IDENTITY:

sinθ = - tanθ/√(1 + tan²θ)

cosθ = - 1/√(1 + tan²θ)

<h3>__________________________________________</h3>

ANSWER:

We know that in III quadrant, sine and cosine both are negative.

sinθ = - 3.454/√(1 + 3.454²)

  • - 0.961

cosθ = - 1/√(1 + 3.454²)

  • - 0.278
<h3>__________________________________________</h3>
vodka [1.7K]3 years ago
5 0

Answer:

<u>Given</u>

  • tanθ = 3.454
  • θ is in the III quadrant

We know in the III quadrant both sine and cosine are negative.

<u>Use the following identities to get values of sinθ and cos θ</u>

  • sinθ = - tanθ/√(1 +tan²θ)
  • cosθ = - 1/√(1 +tan²θ)

<u>Substitute the value of tanθ and find sine and cosine:</u>

  • sinθ = - 3.454/√(1 + 3.454²) = - 0.961
  • cosθ = - 1/√(1 + 3.454²) = - 0.278

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