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avanturin [10]
4 years ago
10

Can someone write out the steps on how to verify this identity?

Mathematics
1 answer:
zhenek [66]4 years ago
3 0

Step-by-step explanation:

(csc θ − 1) / cot θ

Multiply top and bottom by the conjugate csc θ + 1.

(csc θ − 1) (csc θ + 1) / (cot θ (csc θ + 1))

Distribute.

(csc²θ − 1) / (cot θ (csc θ + 1))

Use Pythagorean identity.

cot²θ / (cot θ (csc θ + 1))

Divide.

cot θ /  (csc θ + 1)

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