Question

tan⁻¹(cosx-sinx/cosx+sinx),π/4< x <π/4,Express in the simplest form.

Answer 1

Answer:

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Answer 2

Answer:

$\frac{\pi }{4}-x$

Step-by-step explanation:

let y=tan⁻¹(cosx-sinx/cosx+sinx)

    tany  =$\frac{cosx-sinx}{cosx+sinx}$

              divide numerator and denominator of RHS by cosx,we get

     tany=$\frac{1-tanx}{1+tanx}$

     tany=tan($\frac{\pi }{4} -x$)

hence, y=$\frac{\pi }{4} -x$