This is all one question) Explain why the range of the cosecant function is (−∞,−1] ∪ [1,∞). The cosecant function, cscx, is the reciprocal of f(x)= sine x.sinx OR cosine x.cosx. The value of f(x) is always at least______ and no more than _____ . If f(x)<0, then cscx is the reciprocal of that value and so is _________ A: greater than or equal to 1. B: between −1 and 1. C: less than or equal to −1. D: greater than 1.
(This is all one question)
Explain why the range of the cosecant function is (−∞,−1] ∪ [1,∞).
The cosecant function, cscx, is the reciprocal of f(x)= sine x.sinx OR cosine x.cosx.
The value of f(x) is always at least______ and no more than _____ .
If f(x)<0, then cscx is the reciprocal of that value and so is _________
A: greater than or equal to 1.
B: between −1 and 1.
C: less than or equal to −1.
D: greater than 1.
E: undefined.
F: less than −1.
If f(x)=0, then cscx is ______________
A: less than −1.
B: undefined.
C: greater than or equal to 1.
D: less than or equal to −1.
E: greater than 1.
F: between −1 and 1.
If f(x)>0, then cscx is ________
A: less than or equal to minus 1.less than or equal to −1.
B: greater than or equal to 1.greater than or equal to 1.
C: undefined.
D: less than −1.
E: between −1 and 1.
F: greater than 1.
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