Show that `cot(pi/4+x)cot(pi/4-x)=1`

cot((pi)/(4)-x)+cot((pi)/(4)+x)=4

Prove that cot((pi)/(4) + 0) cot ((pi)/(4) - 0) =1 .

cot((pi)/(4)-2cot^(-1)3)

Show that the function f(x)=cot^(-1)(sin x+cos x) is decreasing on (0,pi/4) and increasing on (pi/4,pi/2)

If A+B=(pi)/(4), show that (cot A-1)(cot B-1)=2

Show that the function f(x)=cot^(-1)(sinx+cosx) is decreasing on (0,\ pi//4) and increasing on (pi//4,\ pi//2) .

cot((pi)/4-2cot^(-1)3)=

Prove that: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1

Prove that: cos((3pi)/2+x)cos(2pi+x){cot((3pi)/2-x)+"cot"(2pi+x)}=1

Prove that cos((3pi)/(2)+x)cos(2pi+x)[cot((3pi)/(2)-x)+cot(2pi+x)]=1