Question 1030060: i need to express cos 632 degrees in terms of the same function of a postive acute angle Found 2 solutions by fractalier, josmiceli:Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Okay. Since the cosine repeats every 360, we can subtract 360 off twice and get
cos 632 = cos 272 = cos (-88)
Since the cosine function is an even function,
cos (-x) = cos x
so that
cos (-88) = cos 88
You can put this solution on YOUR website! Start at 0 degrees and turn the unit vector
360 degrees at a time counter clockwise
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After a 360 degree turn, degrees are left
and the unit vector is back at 0 degrees
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Now turn the unit vector 270 degrees, ( going counter clockwise)
which is 90 degrees past 180 degree location
and 2 degrees are left, which will
put you in the 4th quadrant
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If you do any trig functions of this angle,
the angle will be degrees
to the 0 degree location in the 4th quadrant
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Some trig functions are negative in the 4th quadrant,
cos( 272 ) = (+) cos( 88 )
sin( 272 ) = (-) sin( 88 )
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hope this helps
