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eburke10 eburke10
  • 11-06-2016
  • Physics
Answered

1

Verify the identity. Show your work.


cot θ ∙ sec θ = csc θ

Verified Answer :

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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