Sunday, April 7, 2013

Aim: How do we evaluate inverse trigonometric relations and functions?

We Usually know some of the regular trigonometric functions such as; Sin(x) , Cos(x), Tan(x) and so forth .. Other functions like; Cot(x), Sec(x), and Csc(x).

We can solve for the measure of an angle if we know the value of a trig function. By doing this, we use the inverse functions;
    ArcSin x -> Sin ^ -1 x
    ArcCos x -> Cos ^ -1 x
    ArcTan x -> Tan ^ -1 x
    ArcSec x -> Sec ^ -1 x
    ArcCsc x -> Csc ^ -1 x
    ArcCot x -> Cot ^ -1 x

For Example ; ArcSin (1/2) is equal to 30 Degrees

      The Value of Arc Sin (1/2) + Arc Tan (1) is
75 Degrees .
     ( 45 + 30 = 75 )

We have a simple format when converting decimal degrees to minutes.
     We first multiply the decimal portion by 60.
For Example: Write 12.75 in degree/minute format.
    .75 * 60 = 45 '
12.75 Degrees = 12 Degrees 45 '