Find all solutions of the given equation 49 sin2theta10Solut

Find all solutions of the given equation:

49 sin^2theta-1=0

Solution

given

49 sin^2 (theta) - 1 = 0

49 sin^2 ( theta) = 1

sin^2 (theta) = 1/49

sin(theta) = sqrt(1/49 )

sin(theta) = + / - 1/7

sin(theta) = 1/7

theta = arcsin(1/7) + 2 pi n, pi - arcsin(1/7) 2 pi n   

AND

sin(theta) = - 1/7

theta = arcsin( -1/7) + 2 pi n, pi - arcsin( -1/7) 2 pi n

theta ===> - arcsin( 1/7) + 2 pi n, pi + arcsin( -1/7) 2 pi n