If tan (0) = -8/7 and sin (0) < 0, then find sin (0)

Answer 1

tangents are negative in quadrant II or IV

sines are negative in quadrant III or IV

this angle is in quadrant IV to satisfy both requirements.

BUT the angle "0" seems to mean something other than 0 degrees or 0 radians. It probably just means theta, which is a 0 with a line through it

IF tan(theta) = -8/7 = opposite side/adjacent side, then sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526