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Sara S.

asked • 06/07/18

Points of discountuity

how do we find pointa of discountity of trignometric functions such as
tan^-1(5x)
 
or sec(5x)

1 Expert Answer

By:

Sara S.

Ment arctan but for example if i want to find tan8x
 
tan8x=sin8x/cos8x
cos8x=0
8x=pi/2
x=pi/16 +npi/8 where n = real numbers
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06/08/18

Paul M.

tutor
arctan is continuous on the whole real line; therefore, any discontinuity would happen only as a result of the expression of which you are taking arctan, e.g. arctan(1/x) at 0.
 
With your 8x problem: you are correct except that n needs to be an integer (not a real number).
 
I hope that helps.
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06/08/18

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