Asked by Timothy
Hey I am doing test corrections and need help,
Which of the following inverse functions are defined for x=-1/2 ? Select all that apply.
Y=tan^-1 x
Y=cos^-1 x
Y=sin^-1 x
Y=csc^-1 x
Y=sec^-1 x
Y=cot^-1 x
Which of the following inverse functions are defined for x=-1/2 ? Select all that apply.
Y=tan^-1 x
Y=cos^-1 x
Y=sin^-1 x
Y=csc^-1 x
Y=sec^-1 x
Y=cot^-1 x
Answers
Answered by
Steve
since |sec(x)| and |csc(x)| are both greater than 1, there is no angle x such that
sec(x) = -1/2 or csc(x) = -1/2
The rest are either always between -1 and 1 or have infinite range.
sec(x) = -1/2 or csc(x) = -1/2
The rest are either always between -1 and 1 or have infinite range.
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