Friday, January 1, 2010

Taylor holiday reflection #1

from now on for the exams we will have to know the trig chart
i figured id share my way of remembering it

TRIGCHART

0° *sin 0= 0 *cos 0= 1 *tan 0= 0 *csc 0= undefined *sec 0= 1*cot 0= undefined
30° * sin π/6= 1/2 *cos π/6= √3/2 *tan π/6= √3/3 *csc π/6= 2 *sec π /6= 2 √3/3*cot π/6= √3
45° *sin π/4= √2/2 *cos π/4= √2/2 *tan π/4= 1 *csc π/4= √2 *sec π/4= √2 *cot π/4= 1
60° *sin π/3= √3/2 *cos π/3= 1/2 *tan π/3= √3 *csc π/3= 2 √3/3 *sec π/3= 2 *cot π/3= √3/2
90° *sin π/2= 1 * cos π/2= 0 *tan π/2= undefined *csc π/2= 1 *sec π/2= undefined *cot π/2= 0

I also discovered an easier way to memorize the chart

First you would have to set up the chart differently than it was given

It would have to look like this
Sin Cos Tan Csc Sec Cot
30

45

60

90

Just like a graph and then you fill in the parts for each
If you can memorize the sin column for the chart you can figure out the rest of the chart

Cos is just sin backwards
Tan is just sin/cos
Csc is just 1/sin

Etc. You just have to find the relations of each

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