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


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