Question

express sin45 in term of sin45 and cos45,evaluate sin46 and estimate your error

Answer 1

good morning my people i need answer to that question. thanks

Answer 2

sin45 = 1/2 ( sin45 +cos45)

From calculator ,
sin46 = 0.719, cor to 3 d.p
error of my answer = +/-0.001/2 = +/-0.0005

Answer 3

Hmm.. sin45 = cos 45
So , sin45 = 1/2 ( sin45 +cos45)

Answer 4

@callisto,work it out in term ot maclaurin

Answer 5

you mean maclaurin series??

Answer 6

oh... maclaurin...

Answer 7

yes

Answer 8

@order i mean maclaurin series

Answer 9

sin x = x - x^3/3! + x^5/5! - x^7/7! + ....

sin (pi/4) = (pi/4) - (pi/4)^3/3! + (pi/4)^5/5! - (pi/4)^7/7! + (pi/4)^9/9!

= 0.7071 ... says wolf
http://www.wolframalpha.com/input/?i=%28pi%2F4%29+-+%28pi%2F4%29%5E3%2F3%21+%2B+%28pi%2F4%29%5E5%2F5%21+-+%28pi%2F4%29%5E7%2F7%21+%2B+%28pi%2F4%29%5E9%2F9%21&a=ClashPrefs_*MathWorld.MaclaurinSeries-

Answer 10

@experimentx use this formula f(x)=f(a)+hf'(a)+h^2/2!f"(a)

Answer 11

oo ... that quadratic approximation.

Answer 12

and what points are we supposed to use inplace of a
is it 0?? i mean for 45??

Answer 13

sin45^0

Answer 14

sin(x)=sin(a)+x cos(a) - x^2/2! sin(a)

sin(pi/4)=sin(0)+pi/4 cos(0) - x^2/2! sin(0) = pi/4

Answer 15

no

Answer 16

so ??

Answer 17

what point are we going to use as a ... we need a reference point right? i look the liberty of taking a=0