`y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),w h e r e-pi/2-1`

1.	`y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),w h e r e-pi/2-1`
Answer» `"Let "y=tan^(-1)((a cos x- b sin x)/(b cos x + a sin x)),` `=tan^(-1)(((a)/(b)-tan x)/(1+(a)/(b) tan x))` `=tan^(-1)((a)/(b))-tan^(-1)(tan x)` `=tan^(-1)((a)/(b))-x" "[because-(pi)/(2)ltxlt(pi)/(2)` `therefore" "(dy)/(dx)=0-1=-1`

Discussion

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