Posted by **Anonymous** on Wednesday, April 13, 2011 at 7:42pm.

Use Newton's method to solve the equation sec x = 4 in the interval x in (0, pi/2).

In other words, use Newton's Method to compute arcsec(4).

(You need to make a good initial guess for the root otherwise Newton's method will probably fail. Please justify how you came up with your initial guess. Stop the iteration process

when you are correct to 4 decimal places.)

- calculus -
**bobpursley**, Wednesday, April 13, 2011 at 8:01pm
You need to be doing this on your calculator.

I will start you.

x=75 deg

sec75=3.36

try higher

sec 78=4.8 lower

sec 76.5=4.28 lower

sec 76=4.13 lower

sec 75.5=3.99 higher

sec 75.51=3.9966 higher

sec 75.515=3.99797 higher

sec 75.52=3.9993

sec 75.525=4.00067 lower

sec 75.524=4.0004

sec 75.523=4.0001

sec 75.5228=4.00008

sec 75.5223=3.99995=

sec 75.5225=4.000003

with practice, you get pretty good.

- calculus -
**Anonymous**, Wednesday, April 13, 2011 at 8:27pm
thanks but i need to use newton's method for this.... i tried it by starting with 1 but do not get an answer. :s

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