In order to find the three trig functions that aren't on your calculator already, you simply plug in the following formulas: cot x= 1/tan( ) sec x= 1/cos( ) csc x= 1/sin( )
-Ex: Find the value to 4 significant digits.
a. cot 6= 9.514
You plug in your calculator: 1/tan(6). You should get 9.514364454. Now you round to 4 significant digits, and get 9.514
b. csc 54= 1.236
Plug in: 1/tan(54). You get 1.236067977. Round, and get 1.236
c. sec 15= 1.035
Plug in 1/cos(15). You get 1.03527618. Round, and get 1.035
Now, I will show you how to find the other 5 trig functions when given a certain trig function, and which quadrant it's located in.
Example: Find the other 5 trig functions given tan x= 3/4, Pi
-First I will locate the quadrant. It's in quadrant 4 because it is greater than Pi (-1,0), and less than 2Pi (1,0).
-Now, you determine the radius, because you already have y and x(tan=y/x=3/4).
-Now, you plug in the pythagorean theorem: 3^2+4^2=c^2, 9+16=c^2, 25=c^2. You should get 5(square root of 25).
-You can now find the other 5 trig functions. (y=3, x=4, r=5)
sin= 3/5 cos= 4/5 tan= 3/4
csc= 5/3 sec= 5/4 cot= 4/3
---Jordan Duhon:)
No comments:
Post a Comment