Sunday, September 5, 2010

Review of 7-6; Inverses

An inverse,-1 finds an angle.
  • sin^-1(#) or arcsin(#) **Both arcsin and sin are the same thing just written out differently.
  • cos^-1(#) or arcos(#) **Same here, both arcos and cos are the same thing just written out differently.
Example: Tan^-1(2)= 63.4349 (degrees)
Use your calculator and make sure its in degrees.

An inverse finds the ANGLE where the function has a certain VALUE.
*if you look for key words like this it will be easier to determine what to do with the problem.

If you are given trig1(trig2^-1(a/b)) then draw the points in a coordinate plane, and use formulas to find trig1 **trig1 is what we are solving for, but trig2 gives us the information we need to plug into the formulas.
  • sin^-1(sinx)=x
  • cos^-1(cosx)=x
0, 1, and undefined= Unit Circle
Example: Tan^-1(0)= y/x= 0 + 180(degrees)n

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