Trig question
18
How many solutions are there to the equation
Tan x = 100x
where x is [-360, 360]
Tan x = 100x
where x is [-360, 360]
(edited 1 year ago)
Reply 1
16
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
Reply 2
21
Original post
by subbhyHow 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.
Reply 3
subbhy
OP
18
Original post
by subbhyTan x = 100x
where x is between -360 and 360
Reply 4
subbhy
OP
18
Original post
by User_09do 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 mqb2766If 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 mqb2766If 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.
Reply 5
21
Original post
by subbhyIt 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.
Reply 6
subbhy
OP
18
Original post
by mqb2766Upload 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
Reply 7
21
Original post
by subbhyI 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.
Reply 8
subbhy
OP
18
Original post
by mqb2766For 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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