1.

Write the following functions in the simplest form : tan^(-1)((cos x -sin x)/(cos x + sin x)), -pi/4 lt x lt (3pi)/4

Answer»

SOLUTION :`tan^(-1)((cos X - sin x)/(cos x + sin x)) = tan^(-1)((cos x(1-tanx))/ (cos x(1+tanx)))`

`tan^(-1)((1-tanx)/(1+tanx))= tan^(-1)tan(pi/4-x) = pi/4-x`


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