Answer :

To Find: General solution.


(i) Given: cos x =


Formula used: cos = cos = 2n , n I


By using above formula, we have


cos x = = cos()= cos()=cos() x = 2n , n I


So general solution is x = 2n where n I


(ii) Given: cosec x =


We know that cosec sin = 1


So sinx =


Formula used: sin = sin = n + (-1)n , n


By using above formula, we have


sinx = = sin x = n +(-1)n.


So general solution is x = n +(-1)n. where n I


(iii) Given: tan x = -1


Formula used: tan = tan = n , n I


By using above formula, we have


tan x = -1= tan x = n, n I


So the general solution is x = nwhere n I


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