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C3 Iteration

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1. 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...
2. (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
3. (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.
4. it means the same thing.

PS you need to be sure if it is radians or degrees.*

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