Give the measures of the angles in degrees and radians: sin^(-1) ((-sqrt2)/2) and tan^(-1) (-5)?

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Give the measures of the angles in degrees and radians: sin^(-1) ((-sqrt2)/2) and tan^(-1) (-5)?

2007-08-26 05:41:47 · 3 answers · asked by coolguy 1 in Science & Mathematics ➔ Mathematics

3 answers

theta= 315 degrees
180 degree=pi radians
315 degrees= 315*(pi/180) radians

2007-08-26 05:51:37 · answer #1 · answered by MathStudent 3 · 0⤊ 0⤋

The angle whose sine is - sqrt 2 over 2 is in quadrant 4 and is converted from 45 degrees or pi/4 radians. So just make these negative. As for tan^-1 (-5) it's also in quadrant 4 but not an exact value; find tan^-1 5 and make it negative.

2007-08-26 05:52:35 · answer #2 · answered by hayharbr 7 · 0⤊ 0⤋

arcsin(-sqrt(2)/2)=225 or 315degrees = 5pi/4 or 7pi/4 radians
arctan (-5) = 101.31 or 281.31 degrees or 1.77 or 4.91 rads

2007-08-26 06:02:07 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋