eburke10 eburke10
  • 11-06-2016
  • Physics
contestada

1
Verify the identity. Show your work.

cot θ ∙ sec θ = csc θ

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Hagrid
Hagrid Hagrid
  • 13-06-2016
To verify the identity, we can make use of the basic trigonometric identities:
cot θ = cos θ / sin θ 
sec θ = 1 / cos θ
csc 
θ = 1 / sin θ

Using these identities:
cot θ ∙ sec θ = (cos θ / sin θ ) ( 1 / cos θ)

We can cancel out cos θ, leaving us with
cot θ ∙ sec θ = 1 / sin θ
cot θ ∙ sec θ = = csc θ
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