Question

The tangent to the curve y=(sinx)/(1+tanx) at x =0 is

parallel to y axis parallel to x axis

Answer 1

@satellite73 @FoolForMath

Answer 2

take derivative, replace \(x\) by 0

Answer 3

yes i got the answer as 0 now wat to do

Answer 4

@satellite73

Answer 5

are you sure it is zero? hold on a sec

Answer 6

u plzz check it

Answer 7

i think the slope is 1, so it is neither parallel to y or x axis

Answer 8

if the answer is one then it is equally inclined to x and y axis...

Answer 9

??? can u tell me

Answer 10

@experimentX

Answer 11

@eseidl

Answer 12

if the answer is one then it is equally inclined to x and y axis...???????

Answer 13

The derivative is:
\[y'=\frac{(cosx)(1+tanx)+sinx(\sec^2x)}{(1+tanx^2)}\]at x=0 we get\[f'(0)=\frac{1}{1}=1\]So, yeah, it is neither parallel to the x-axis nor parallel to the y-axis as satellite73 stated.

Answer 14

so is it equally inclined to x and y axis

Answer 15

yeah. I also have a typo in my answer. the denominator should be (1+tanx)^2

Answer 16

o is it equally inclined to x and y axis

Answer 17

The slope of the tangent is parallel to the line y=x. You could also say it is equally inclined to the x and y axes.

Answer 18

if it is 0 then slope is parallel to x axis??????

Answer 19

If the slope of the tangent was equal to zero, then yes, it would be parallel to the x-axis

Answer 20

In this case the slope is parallel to the line y=x (actually it is parallel to any line y=x+b, b=constant).

Answer 21

so it wont be equally inclined to x and y axis? so the answer is none of these

Answer 22

plzz add this option too equally inclined to x and y axis

Answer 23

As I said, it is equally inclined to the x and y-axes.