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

Vastaus:

Jos # frac {sin theta} {x} = frac {cos theta {y} # sitten # th theta - cos theta = pm frac {x - y} {sqrt {x ^ 2 + y ^ 2}} #

Selitys:

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

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

#eta = x / y #

Se on kuin oikea kolmio, jossa on päinvastainen # X # ja vieressä # Y # niin

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

# sin theta = theta cos theta #

# te theta - cos theta #

# = tan theta

# = theta (theta - 1) #

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

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