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Integrate the functions1/(cos(x-a)cos(x-...

Integrate the functions`1/(cos(x-a)cos(x-b)`

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Verified by Experts

Let's write the integral in this way
`I=1/ (sin(a-b))int((sin(x-b)-(x-a))/(cos(x-a)cos(x-b)))dx`
We know that, `sin(A+B)=sinAcosB+cosAsinB`
`:.I=1/sin(a-b)int((sin(x-b)cos(x-a)-cos(x-b)sin(x-a))/(cos(x-a)cos(x-b)))dx`
...
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