" 12."(a+b sin x)/(c+d cos x)quad " INCERT "

Let a= ( 2 sin x )/(1 + sin x + cos x ) and b = ( c )/(1+ sin x ) . Then a = b , if c= ?

Find the derivative of (a - b sin x)/( c+ d cos x)

Find the derivative of (a+ b sin x)/(c + d cos x)

A: int (2cos x +3sin x)/(4cos x+5 sin x)dx= (-2)/(41)log|4cos x+5Sinx|+(23)/(41)x+c R: int (a cos x+b sin x)/(c cos x+d sin x)dx= (ac+bd)/(c^(2)+d^(2))x+(ad-bc)/(c^(2)+d^(2))log|c cos x+d sin x |+k

The function f(x)=(a sin x+b cos x)/(c sin x+d cos x) is decreasing,if

int (cos x - sin x)/ (1+2 sin x cos x ) dx is equal to a) - 1/(cos x- sin x)+c b) (cos x + sin x)/(cos x- sin x)+c c) - 1/(cos x+ sin x)+c d) x_1/(sin x+ cos x)+c

A: (d)/(dx ) {Tan ^(-1) ((a cos x + b sin x)/(b cos x - a sin x))=1 R: (d)/(dx) {Tan ^(-1) ((a cos f (x) +b sin f (x))/(b cos f (x) -a sin f (x)))}=f'(x)

Integral of form (a sin x+b cos x)/(c cos x+d sin x)

If 16cot x=12, then (sin x-cos x)/(sin x+cos x) equals (1)/(7)(b)(3)/(7)(c)(2)/(7)(d)0