Question

For the function r(x) = 3/4cot(x) the x-intercepts occur at ____ radians.
a. Πn
b. Π/2 + Πn
c. 3Π/4 + Πn
d. Π/2

Answer 1

https://courseplayer.avalearning.com/NeutralLMS/coursefiles/Questions/22549/L15%2006.png

Answer 2

Please help

Answer 3

if you look at the graph, you can see that the x-intercept appears at every multiple of pi/2

Answer 4

so b

Answer 5

n is an integer, multiplying would create multiples of pi/2 (it could be negative)

Answer 6

Oh i see thank you!

Answer 7

np

Answer 8

\[\large r(x)=\frac{ 3 }{ 4 }*\cot(x) = \frac{ 3 }{ 4 }*\frac{ \cos(x) }{ \sin(x) }\]

That will be zero when cos(x)=0. The top part of the fraction is zero.
cos(x) = 0 for angles x= pi/2 and x= 3pi/2

Answer 9

or every pi radians starting with pi/2

Answer 10

oh that's a much more detailed response thanks :)