In physics it is important to use mathematical approximations. Demonstrate that for small angles (<20 deg) tan x ~sin x~ x=pi*x'/180 deg where x is in radians and x' is in degrees. What is the largest angle for which tan x may be approximated by sin x if the error is to be less than 10.0%
Please show work.
2006-09-07 12:02:43 · 3 answers · asked by Nate-dawg 2 in Science & Mathematics ➔ Physics
I wasn't asking you to do my homework moron! I only wanted some pointers, you just don't know how to do it is all.... don't even bother I already knew how to do the problem... sometimes we like to see how others go about it miss I am too good to help you, BS!
2006-09-07 18:33:00 · update #1
Check Taylor series for common functions like sin and tan
2006-09-07 12:26:59 · answer #1 · answered by Edward 7 · 0⤊ 1⤋
Draw a right-angled triangle in which angle x= 20 degrees (and of course the other 2 angles are 70 and 90 degrees). Then sin x =opposite/hypotenuse and tan x =opposite/adjacent. If you measure the adjacent and hypotenuse sides in your triangle, you'll find that, near as dammit they're the same length. For the second part of your question, tan x divided by sin x = sec x or if you prefer, 1/cos x. For what values of x is1/ cos x less than 1.1? Answer, 27.3 degrees or less.
2006-09-07 19:56:44 · answer #2 · answered by zee_prime 6 · 0⤊ 0⤋
no i will not do your homework
2006-09-07 19:09:41 · answer #3 · answered by twinklee_x3 3 · 0⤊ 0⤋