1.

Integrate the functions`1/(cos(x-a)cos(x-b)`A. `tan x+ cosec x+c`B. `-tan x+ cot x+c`C. `tan x + sec x+c`D.

Answer» Correct Answer - a
` int (sin^(2) x-cos ^(2)x)/(sin^(2) x cos^(2) x)`
` = int ((sin^(2)x)/(sin^(2) x cos^(2) x)-(cos^(2)x)/(sin^(2) x cos^(2)x))dx`
`=int ((1)/(cos^(2)x)-(1)/(sin^(2)x))dx`
` = int (sec^(2) x- " cosec"^(2) x) dx`
`= tan x + cot x+c`


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