1.

\[\int_{{}}^{{}}{\frac{dx}{\cos (x-a)\cos (x-b)}=}\]                

A. \[\text{cosec}\,\,(a-b)\log \frac{\sin (x-a)}{\sin (x-b)}+c\]
B. \[\text{cosec}(a-b)\log \frac{\cos (x-a)}{\cos (x-b)}+c\]
C. \[\text{cosec}(a-b)\log \frac{\sin (x-b)}{\sin (x-a)}+c\]       
D. \[\text{cosec}(a-b)\log \frac{\cos (x-b)}{\cos (x-a)}+c\]
Answer» C. \[\text{cosec}(a-b)\log \frac{\sin (x-b)}{\sin (x-a)}+c\]       


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