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