From the first principal find the derivative of 1/ sinx
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By the Sum Rule,
The derivative of 1−sin(x) 1 - sin ( x ) with respect to x x is ddx [ 1 ] +ddx [−sin(x)] d d x [ 1 ] + d d x [ - sin ( x ) ] . Since 1 1 is constant with respect to x x , the derivative of 1 1 with respect to x x is 0 0 .
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