Member Avatar for Sohelp

Sinx= x- (x3/3!)+ (x5/5!)- (x7/7!)+.......


I can't solve it
Please help me........

  • 4 Contributors
  • 6 Replies
  • 135 Views
  • 2 Days Discussion Span
  • Latest Post Latest Post by Sohelp
Member Avatar for SasseMan

That is the taylor series for sin(x) i.e. sin(x) is approximately x- (x3/3!)+ (x5/5!)- (x7/7!)+.......

What do you want to solve?

Member Avatar for Lerner

x can be written as (x^1)/1! Now it's in the same form as the other terms, x^exponent/exponent!, except that you need a mechanism to flip the sign from positive to negative, which can be done by using -1^(exponent - 1) with each term. now use a loop to add each term one to the other in sequence and decide what level of sensitivity you want to use to decide when to stop.

Looking for patterns is part of the fun!

Edited by Lerner because: n/a
Member Avatar for Taywin

You aren't supposed to brute-force it. There is an equation to solve the approximation if I remember correctly.

Member Avatar for Lerner

That's great, if you remember the equation. But brute force is what computers do best, so I don't mind utilizing their strength. To expect someone to come up with the equation on their own would be a ludicrous learning experience as part of a class and a wonderful "AHA!" moment if you were a mathematician.

N.B I see my protocol for flipping the sign every other term needs to be tweaked, but you get the idea of what can be done to accomlish the task.

Edited by Lerner because: n/a
Member Avatar for Taywin

I cannot recall because I have not used it for a long time, but it should be an equation related to harmonic equation approximation.

By the way, it is depends on how precise you want for your result. Brute force is not the best to go for even with computer because how would you know that it is 'good enough' result? It is the same as 'how many times would you test your program and can say that it is good enough?' If there is an equation which someone has already implemented that can be applied to your problem, why don't you search for it? I just give him an information. If you have the Internet, why wouldn't you utilize it? Or you just use it for gaming?

Edited by Taywin because: n/a
Member Avatar for Sohelp

Thanks to all of you
I understood how to solve this type of problem.
So again i say Thanks for your help

Your Regards
Sohel Rana
Bangladesh

Be a part of the DaniWeb community

We're a friendly, industry-focused community of developers, IT pros, digital marketers, and technology enthusiasts meeting, networking, learning, and sharing knowledge.