Original post by subbhy

How many solutions are there to the equation

Tan x = 100x

where x is [-360, 360]

Tan x = 100x

where x is [-360, 360]

If the question is as youve written it, a sketch should help. It doesnt ask you to calculate them, just get the number of solutions.

Original post by subbhy

Tan x = 100x

where x is between -360 and 360

Original post by User_09

do you mean tanx = 100

if so, i believe there's 4:

89.4, 269.4, -90.6, -270.6

if so, i believe there's 4:

89.4, 269.4, -90.6, -270.6

It was = 100x

x is between -360 and 360

Original post by mqb2766

If the question is as youve written it, a sketch should help. It doesnt ask you to calculate them, just get the number of solutions.

Original post by mqb2766

If the question is as youve written it, a sketch should help. It doesnt ask you to calculate them, just get the number of solutions.

I tried to, the answer is 5 not sure how.

Original post by subbhy

It was = 100x

x is between -360 and 360

I tried to, the answer is 5 not sure how.

x is between -360 and 360

I tried to, the answer is 5 not sure how.

Upload your sketch? Id agree the answer is 5.

Original post by mqb2766

Upload your sketch? Id agree the answer is 5.

I thought to sketch tanx and then y = 100x separately for the extremes of the range of x

Original post by subbhy

I thought to sketch tanx and then y = 100x separately for the extremes of the range of x

For x in [-360,360], for the tan curves you have tan(-360)=tan(360)=0 so you need to make sure you dont have any extra bits at the ends.

More importantly y=100x is a simple linear function, not two constant lines.

Original post by mqb2766

For x in [-360,360], for the tan curves you have tan(-360)=tan(360)=0 so you need to make sure you dont have any extra bits at the ends.

More importantly y=100x is a simple linear function, not two constant lines.

More importantly y=100x is a simple linear function, not two constant lines.

oh of course 😖 thank you

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