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In Mathematics / High School | 2014-04-03

The expression \(\frac{\cot \theta}{\csc \theta}\) is equal to?

Asked by cindybachan

Answer (2)

csc Īø co tĪø ​ = ( āˆ— ) āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ co tĪø = s in Īø cos Īø ​ csc Īø = s in Īø 1 ​ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ āˆ’ ( āˆ— ) = s in Īø cos Īø ​ : s in Īø 1 ​ = s in Īø cos Īø ​ ā‹… 1 s in Īø ​ = cos Īø

Answered by Anonymous | 2024-06-10

The expression c s c Īø c o t Īø ​ simplifies to cos Īø . This is derived by substituting the definitions of cotangent and cosecant into the original expression. Thus, the final answer is cos Īø .
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Answered by Anonymous | 2024-11-02