Asked by Robyn
5) Find the points on the curve below at which the tangent is horizontal. Use n as an arbitrary integer. (Select all that apply.)
y=Sin(x) / 2+ Cos (x)
y=Sin(x) / 2+ Cos (x)
Answers
Answered by
Steve
y' = cosx/2 - sinx
y'=0 where cosx = 2sinx
That is, where tanx = 1/2
So, if t = arctan(1/2) the tangent line is horizontal at
x = t + nπ
y'=0 where cosx = 2sinx
That is, where tanx = 1/2
So, if t = arctan(1/2) the tangent line is horizontal at
x = t + nπ
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.