If sinx+cosx=a then |sinx-cosx|=...

If `sinx+cosx=a` then `|sinx-cosx|=`

A

`sqrt(2-a^(2))`

B

`sqrt(2+ a ^(2))`

C

`sqrt(a^(2) -2)`

D

`sqrt (a^(2) -4)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If sinx+cosx=1/5 , then tan 2x is

If y = (1+sinx)/cosx then, dy/dx =

If f(x)=(a sin x+b cosx)/(c sinx+dcosx) is decreasing for all x , then

If f(x)=sinx-cosx , the function decreasing in 0 le x le 2pi is

int e^x sin x(sinx + 2cosx)dx =

int(sinx)/(sinx-cosx)dx=

Prove that (1+sinx-cosx)/(1+sinx+cosx)+(1+sinx+cosx)/(1+sinx-cosx) =2+2"cosec "x

The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and y=sqrt[[1-sinx]/cosx] bounded by the lines x=0 and x=pi/4 is

int(dx)/(sinx+cosx)=