Sin theta / x = cos theta / y potom sin theta - cos theta =?

odpoveď:

ak # frac {heta theta} {x} = frac {cos theta {y} # potom # h theta - cos theta = pm frac {x - y} {sqrt {x ^ 2 + y ^ 2}} # #

vysvetlenie:

# frac {heta theta} {x} = frac {cos theta {y} #

# frac {heta theta} {ako theta} = frac {x} {y} #

# heta = x / y #

To je ako pravý trojuholník s opakom #X# a priľahlé # Y # tak

#cos theta = frac {y y} {sqrt {x ^ 2 + y ^ 2} #

# sin theta = theta # theta #

heta theta - cos theta #

# = tan theta cos theta - cos theta #

# = cos theta (theta - 1) #

# = frac {x y} {sqrt {x ^ 2 + y ^ 2}} (x / y -1) #

# h theta - cos theta = pm frac {x - y} {sqrt {x ^ 2 + y ^ 2}} # #