csc Īø co tĪø ā = ( ā ) ā ā ā ā ā ā ā ā ā ā ā ā co tĪø = s in Īø cos Īø ā csc Īø = s in Īø 1 ā ā ā ā ā ā ā ā ā ā ā ā ā ( ā ) = s in Īø cos Īø ā : s in Īø 1 ā = s in Īø cos Īø ā ā 1 s in Īø ā = cos Īø
The expression c s c Īø c o t Īø ā 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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