-csc x + c
To simplify the expression -csc(x) + c, we need to understand the properties of the cosecant function
To simplify the expression -csc(x) + c, we need to understand the properties of the cosecant function.
The cosecant function, csc(x), is defined as the reciprocal of the sine function, sin(x). Therefore, csc(x) = 1/sin(x).
Substituting this into the expression, we get:
-csc(x) + c = -1/sin(x) + c
To further simplify, we need to find a common denominator for the fraction -1/sin(x). The common denominator will be sin(x) itself.
Multiplying the numerator and denominator of -1/sin(x) by sin(x), we get:
(-1)(sin(x))/sin(x) = -sin(x)/sin(x) = -1
Now, the expression becomes:
-1 + c
Final Answer: The simplified expression for -csc(x) + c is -1 + c.
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