Verify the identity. Show your work.

Question

cot θ ∙ sec θ = csc θ

Answer 1

cot θ ∙ sec θ = csc θ

Note that cot θ = cos θ / sin θ, and sec θ = 1 / cos θ:
cos θ / sin θ ∙ 1 / cos θ = csc θ
1 / sin θ = csc θ

Note that 1 / sin θ = csc θ. Thus:
csc θ = csc θ

Answer 2

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