Blazing Trigonometry

20150702_171700

ELEMENT OPERATION NEUTRALITY OPPOSITENESS CHECK
x            + addition               0                  -x              0 = x – x
x            * multiplication     1                 1/x               1 = x * 1/x
x            o composition       x                   x                 x = x(x)
sin          + addition               0                  -sin              0 = sin(x) – sin(x)
sin          * multiplication     1                csc               1 = sin(x) * csc(x)
sin          o composition       x                 arcsin           x = arcsin( sin(x) )

Here are a few key rules:

0 = sin – sin o 2*k*Pi+
0 = cos – sin o 0.5*Pi-
0 = tg – sin*sec

1 = sec*cos
1 = cot*tg
1 = sin*sin + cos*cos

x = arccos o cos
x = arctg o tg
x = arccsc o csc

(The ideas are based from the novel Blazing Night in chapter The Scribbles. Used with the written permission of the publisher: Jacek Walkowicz)

Blue Earth Beach

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s