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C3 Iteration

For each equation, show that it can be rearranged into the given iterative form.

tanx 5x + 13 = 0

xn + 1 = arctan (5xn 13)


Can someone explain why the tan turns into arctan? I thought it would just be tan-1...

I haven't done the trigonometry topic yet so if this is covered there then thats probably why i'm confused...
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Original post by jessyjellytot14
For each equation, show that it can be rearranged into the given iterative form.

tanx 5x + 13 = 0

xn + 1 = arctan (5xn 13)


Can someone explain why the tan turns into arctan? I thought it would just be tan-1...

I haven't done the trigonometry topic yet so if this is covered there then thats probably why i'm confused...


arctan(x) is the same as tan^-1(x), if that's what you mean :smile:
Original post by jessyjellytot14
For each equation, show that it can be rearranged into the given iterative form.

tanx 5x + 13 = 0

xn + 1 = arctan (5xn 13)


Can someone explain why the tan turns into arctan? I thought it would just be tan-1...

I haven't done the trigonometry topic yet so if this is covered there then thats probably why i'm confused...


Means the same thing. Arctan is just a different way of writing the inverse of tan, and it's not to be confused with tan to the power of -1.
it means the same thing.

PS you need to be sure if it is radians or degrees.*
(edited 7 years ago)

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