Differentiatethe following functions with respect to`tan(x^0+45^0)`

1.	Differentiatethe following functions with respect to`tan(x^0+45^0)`
Answer» 3)`y=tan(x^0+45^0)` `=tan(pi/180(x^0+45^0))` diff with respect to x `dy/dx=sec^2[pi/180(x^0+45^0]]d/dx(pi/180(x^0+45^0))` `pi/180sec^2[pi/180(x^0+45^0)]`.

Discussion

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If `f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta)))`, where `-pi/4 lt theta lt pi/4,` then the value of `d/(d(tantheta)) f(theta)` is