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# Year 12 Maths B - Exponential Functions watch

1. Hi, I'm a year 12 maths b student. for my assignment i have to write the Gateway Arch equation in terms of exponential functions but im having trouble simplifying it, im so confused.

Gateway Arch equation:

y= 211.488 - 20.96 cosh(.03283284x)

Hyperbolic cosine:

coshx = (1/2)e^x + (1/2)e^-x

This is what i have so far:

y= 211.488-20.96[(1/2)e^x + (1/2)e^-x] is that as far as i go?
2. (Original post by mizz_perfection)
Hi, I'm a year 12 maths b student. for my assignment i have to write the Gateway Arch equation in terms of exponential functions but im having trouble simplifying it, im so confused.

Gateway Arch equation:

y= 211.488 - 20.96 cosh(.03283284x)

Hyperbolic cosine:

coshx = (1/2)e^x + (1/2)e^-x

This is what i have so far:

y= 211.488-20.96[(1/2)e^x + (1/2)e^-x] is that as far as i go?
Have you included the .03283284x?
3. oh yea, sorry just forgot to type that in. im not sure whether i have to use the power of a power index rule and make it:

y= 211.488- 20.96[(1/2)(e^.03283284)^x + (1/2)(e^.03283284)^-x ] and work out what e^.03283284 is?

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