What is #sin((7pi)/4)#?

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Answer 1 · 2018-05-01T07:01:32

#sin(7*pi/4)# = #-sqrt2/2#

#pi# in general equals to 3.142 in radian form or 180 degrees since #2pi# = 360 degrees.

To solve the eqn, we need to convert the #pi# into degrees.

#sin(7*pi/4)# = #sin(7*180/4)#
#sin(7*180/4)# = #sin(1260/4)#
#sin(1260/4)# = #sin(315)#
∴ #sin(315)# = #-sqrt 2/2#

Answer 2 · 2018-05-01T07:10:06

#-0.707#

#sin((7pi)/4)#

radians to degrees:-

#:.(7cancelpi^1)/cancel4^1xxcancel180^45/cancelpi^1=315^@#

#:.sin315^@=-0.707106781#

Answer 3 · 2018-05-01T07:31:37

#rarrsin((7pi)/4)=-1/sqrt2#

#rarrsin((7pi)/4)=sin(2pi-pi/4)=-sin(pi/4)=-1/sqrt2#