Find the general solution of each of the following equations:
(i) 4cos2 x = 1
(ii) 4sin2 x – 3 = 0
(iii) tan2 x = 1
To Find: General solution.
(i) Given: 4cos2 x = 1 cos2 x =
cos2 x = cos2
Formula used: cos2 = cos2 = n , n I
By using the above formula, we have
x = n , n I
So the general solution is x = n where n I
(ii) Given: 4sin2 x – 3 = 0 sin2 x = = sin2
sin2 x = sin2
Formula used: sin2 = sin2 = n , n I
By using the above formula, we have
x = n , n I
So the general solution is x = n where n I
(ii) Given: tan2 x = 1 tan2 x = tan2
tan2 x = tan2
The formula used: tan2 = tan2 = n , n I
By using the above formula, we have
x = n , n I
So the general solution is x = n where n I