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Which of the following inverse functions are defined for x=-1/2? Select all thst apply.

Y=cos ^-1x
Y= cot^-1x
Y=csc^-1x
Y=sec^-1x
Y=sin^-1x
Y=tan ^-1x

User Staza
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2 Answers

6 votes
all but the last one I think but don't quote me
User Easeccy
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5 votes

Solution:

Function Domain

sin−1(x) [−1,1] →→→→→Defined

cos−1(x) [−1,1] →→→→→Defined

tan−1(x) (−∞,∞) →→→→→Defined

cot−1(x) (−∞,∞) →→→→→Defined

sec−1(x) (−∞,−1]∪[1,∞) →→→→→ not Defined

cosec−1(x) (−∞,−1]∪[1,∞) →→→→→not Defined

As, you can see that, all inverse trigonometric functions are defined for,
x=(-1)/(2), except sec−1(x) and cosec−1(x)

, whose domain is not valid or do not exist when ,
x=(-1)/(2).

User UpHiller
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