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The distance between the points (cost...

The distance between the points `(costheta,sintheta)` and `(sintheta-costheta)` is `sqrt(3)` (b) `sqrt(2)` (c) `2` (d) `1`

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The distance between the points (costheta,sintheta) and (sintheta,-costheta) is a)1 b)2 c) sqrt2 d) sqrt3

What is the distance between the points A(sintheta-costheta,\ 0) and B(0,sintheta+costheta) ?

sintheta+costheta=(sqrt(3)+1)/(2)

sqrt(3)costheta+sintheta=2

sintheta+costheta=sqrt(2)

Solve: sintheta-costheta=-sqrt2

sintheta=-1/2 and costheta=-sqrt(3)/2

Solve sqrt3sintheta-costheta=sqrt2

(1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

If sintheta+costheta=sqrt(2)sintheta , then sintheta-costheta=?