Register to reply

Exact Values of sin (theta)

by GreenPrint
Tags: exact, theta, values
Share this thread:
GreenPrint
#1
Feb10-10, 08:16 AM
P: 1,184
1. The problem statement, all variables and given/known data

Does anyone know were I can find a table on the internet of the exact values of sin theta were theta is any whole angle from zero to ninety degrees

Example
sin 0 degrees
sin 1 degrees
sin 2
sin 3
sin 4
sin 5
...
sin 90

2. Relevant equations



3. The attempt at a solution

thank you i'm to lazy to calculate all of them on my own does anyone know where i could find a table I got about 10 of them done but don't want to waste hours of my llife calculating all 90 when they have already done so can some one point me in the right direction???
Phys.Org News Partner Science news on Phys.org
Apple to unveil 'iWatch' on September 9
NASA deep-space rocket, SLS, to launch in 2018
Study examines 13,000-year-old nanodiamonds from multiple locations across three continents
CompuChip
#2
Feb10-10, 08:32 AM
Sci Advisor
HW Helper
P: 4,300
Short answer: you already wrote down the exact values (they are sin(1o), sin(2o), etc.)

Long answer: only for a few special angles, we can write sin(x) in closed form, for example as [itex]\frac{\pi}{a}[/itex] for some integer a. In most cases, this is not possible. If you want a table of decimal values, you can use a program like Mathematica, for example
http://www.wolframalpha.com/input/?i...],+{x,+0,+90}]

Note the use of the function N[..., 5] which gives the results in 5 decimals and compare this to the "exact" table
http://www.wolframalpha.com/input/?i...],+{x,+0,+90}]
vela
#3
Feb10-10, 02:02 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,747
Do a web search for "trig table" and links to a bunch of nicely formatted tables will come up.

willem2
#4
Feb10-10, 03:18 PM
P: 1,396
Exact Values of sin (theta)

Nice.

It seems they missed

[tex] sin \frac {\pi}{20} = \sqrt { \frac {1-\sqrt { \frac {5}{8} + \frac {\sqrt {5}}{8}}} {2}} [/tex]

however and some more multiples of 9 degrees.
CompuChip
#5
Feb10-10, 03:48 PM
Sci Advisor
HW Helper
P: 4,300
However, there is

sin(pi/20) = 1/2 * (-1)^(9/20) * (-1 + (-1)^(1/10))
dacruick
#6
Feb10-10, 03:53 PM
P: 1,084
use any computer program. then go y = sin(x)
then say x = 0.

while x<91
y=sin(x)
print y
x+=1


Register to reply

Related Discussions
Exact trig. values General Math 9
Exact Values of Trigonometric Values General Math 0
Exact Values Precalculus Mathematics Homework 3
Exact values (trigo) General Math 4
Csc theta=-17/15, cot beta=-3/4 find exact value HELP HELP HELP Introductory Physics Homework 13