How do you find the rectangular coordinate of (sqrt 2, 315 degrees)?
1 Answer
Jan 21, 2016
( 1 , -1 )
Explanation:
To convert from Polar to Rectangular coordinates use :
#• x = rcostheta | y = rsintheta # Here
# r = sqrt2 , theta = 315^@#
# rArr x = sqrt2cos315^@ , y = sqrt2 sin315^@ # Note :
# cos315^@ = cos45^@ # and
# sin315^@ = -sin45^@ # The 'exact value of
# cos45^@= 1/sqrt2 #
The 'exact value' of# sin45^@ = 1/sqrt2 #
# rArr x = sqrt2 cos45^@ = sqrt2 xx 1/sqrt2 = 1# and y
#=sqrt2(-sin45^@) = sqrt 2 xx -(1/sqrt2) = - 1 #
#rArr (sqrt2 , 315^@ ) = ( 1 , - 1 )#
