SOLUTION: Determine the approximate measures of the angles from 0 to 360 for each of the following: a) cos=0.2079 b) tan=0.2126 c) sin=0.5446 Thanks

Algebra ->  Points-lines-and-rays -> SOLUTION: Determine the approximate measures of the angles from 0 to 360 for each of the following: a) cos=0.2079 b) tan=0.2126 c) sin=0.5446 Thanks       Log On


   



Question 1044317: Determine the approximate measures of the angles from 0 to 360 for each of the following:
a) cos=0.2079
b) tan=0.2126
c) sin=0.5446

Thanks

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
Determine the approximate measures of the angles from 0 to 360 for each of the following:
a)   cos(x) = 0.2079  --->  x = arccos(0.2079)

b)   tan(x) = 0.2126  --->  x = arctan(0.2126)

c)   sin(x) = 0.5446  --->  x = arcsin(0.5446)

Use your calculator, or computer, or trigonometric tables.
---------------------------------------


comment from student: we cant use calculators though, we had to draw it out.


My response. Ogo! Can not recall where I saw it.

Then use the series for inverse trigonometric functions

   ( http://www.mathportal.org/formulas/pdf/taylor-series-formulas.pdf 

   http://www.mathportal.org/formulas/pdf/taylor-series-formulas.pdf )