Asked by Kayla
Determine the limit of the trigonometric function:
Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx)
I need step by step help using the special trignometric limits theorem.
Limit as x approaches pi/4 of (1-tanx)/(sinx-cosx)
I need step by step help using the special trignometric limits theorem.
Answers
Answered by
Steve
(1-tanx)/(sinx-cosx) = 0/0, so try LHospital's Rule:
-sec^2(x)/(cosx+sinx) = (-2)/(2/√2) = -2/√2 = -√2
-sec^2(x)/(cosx+sinx) = (-2)/(2/√2) = -2/√2 = -√2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.