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Polar equations

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write the polar eqaution
3 = r cos (theta - 315)
in rectangular form.

  • Polar equations -

    3=r cos(a-315)
    where theta=a
    now 315=360-45=2pi-pi/4=-pi/4
    therefore, -315=+pi/4
    therefore,3=r cos(a-315)becomes
    3=r cos(a+pi/4)
    but cos(a+pi/4)= cosa*cospi/4 - sina*sinpi/4

  • Polar equations -

    3=r cos(a-315)
    where theta=a
    now 315=360-45=2pi-pi/4=-pi/4
    therefore, -315=+pi/4
    therefore,3=r cos(a-315)becomes
    3=r cos(a+pi/4)
    but cos(a+pi/4)= cosa*cospi/4 - sina*sinpi/4
    = 1/root2(cosa-sina)
    3= 1/root2(rcosa-rsina)
    = 1/root2 (x-y)
    3root2=x-y
    y = x-3root2 is an equation of line

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