Solve the equation for principal values of x Express solutio

Solve the equation for principal values of x. Express solutions in degrees. Squareroot 2 sin x - 1 = 0 90 degree 45 degree 315 degree 270 degree

Solution

sqrt2*sinx -1 =0

sinx = 1/sqrt2

x = sin^-1(1/sqrt2)

Principal value means angle in the range : 0<=x<360 deg

x= pi/4 = 45 deg

Option b