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if sinx=x/100. then the total number of values of x are: the answer is 63 as given in the brilliant tutorials module. but i am not able to figure it out how . please tell the solution asap.

if sinx=x/100.


then the total number of values of x are:


the answer is 63 as given in the brilliant tutorials module.


but i am not able to figure it out how .


please tell the solution asap.

Grade:12

3 Answers

APURV GOEL
39 Points
9 years ago

You can solve it by graphical approach approach you can think of intersection of 2 graphs y = sinx and y = x/100

now sinx remains within [-1,1] first consider positive values of x then x/100 touches 1 at 100 which comes out to be around 31.8 pie by dividing by 3.14 so if we think about the intersections there will be 32 intersections including 0 and similarly there will be 31 intersections on negative side excluding zero as we have counted it earlier.

Hence there are a total of 63 intersections.

if u have any problem in analysing there graph tell me and i will post the image of a rough diagram of the intersections.

Vinayak Gupta
56 Points
9 years ago

thanks apurv

Kushagra
11 Points
4 years ago
First divide x/100π by 22/7 to get 31π+9π/11So in 31π oscillations sinx will be cut at 62 pts on negative + positive side and at 0 so total =63We exclude 9π/11 because at this pt graph of y = x/100 goes above graph of sinx

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