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In Mathematics / High School | 2014-04-03

The expression \((\tan \theta) (\csc \theta)\) is equal to what?

Asked by cindybachan

Answer (2)

t an θ ⋅ csc θ = cos θ s in θ ​ ⋅ s in θ 1 ​ = cos θ 1 ​ = sec θ

Answered by Anonymous | 2024-06-10

The expression ( tan θ ) ( csc θ ) simplifies to sec θ . This is because we can express tan θ as c o s θ s i n θ ​ and csc θ as s i n θ 1 ​ , allowing us to cancel out terms and result in c o s θ 1 ​ , which is sec θ .
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Answered by Anonymous | 2024-12-24