Final answer:
To find the value of sin 0, use the identity sin^2 0 + cos^2 0 = 1 and plug in the given value of cos 0. The value of sin 0 in quadrant IV is -5/13.
Step-by-step explanation:
In this question, you are given that cos 0 = 12/13 and the angle 0 is in quadrant IV. To find the value of sin 0, we can use the identity sin^2 0 + cos^2 0 = 1. Plugging in the given value of cos 0, we have:
sin^2 0 + (12/13)^2 = 1
sin^2 0 = 1 - (144/169)
sin^2 0 = 25/169
Taking the square root of both sides, we get:
sin 0 = ± sqrt(25/169)
Since 0 is in quadrant IV, the value of sin 0 is -5/13.