# Exact Values of sin (theta)

by GreenPrint
Tags: exact, theta, values
 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???
 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 $\frac{\pi}{a}$ 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}]
 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.
P: 1,396
Exact Values of sin (theta)

 Quote by CompuChip
Nice.

It seems they missed

$$sin \frac {\pi}{20} = \sqrt { \frac {1-\sqrt { \frac {5}{8} + \frac {\sqrt {5}}{8}}} {2}}$$

however and some more multiples of 9 degrees.
 Sci Advisor HW Helper P: 4,300 However, there is sin(pi/20) = 1/2 * (-1)^(9/20) * (-1 + (-1)^(1/10))
 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

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