If SinX° = sinα then α is?

1 Answer
Feb 27, 2018
  • #alpha=(pix)/180,# #color(red)or#
  • #alpha=kpi+(-1)^k(pix)/180,kinZ#

Explanation:

#sinx^0=sinalpha#
converting degree in to radian, we have
#x^0=(pix)/180#.
So, #sin((pix)/180)=sinalpha rArrcolor(red)(alpha=(pix)/180)#
But if,#alphain[-pi/2.pi/2],#then the general solution is
#color(red)(alpha=kpi+(-1)^k(pix)/180,kinZ)#