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Anastaziya [24]
3 years ago
6

1 Verify the identity. Show your work. cot θ ∙ sec θ = csc θ

Physics
1 answer:
Fittoniya [83]3 years ago
6 0
To verify the identity, we can make use of the basic trigonometric identities:
cot θ = cos θ / sin θ 
sec θ = 1 / cos <span>θ
csc </span>θ = 1 / sin θ<span>

Using these identities:
</span>cot θ ∙ sec θ = (cos θ / sin θ ) (<span> 1 / cos </span><span>θ)
</span>
We can cancel out cos <span>θ, leaving us with
</span>cot θ ∙ sec θ = 1 / sin θ
cot θ ∙ sec θ = = csc <span>θ</span>
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The diagram for this question is shown on the first uploaded image

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