Answer:
sin(x) = ±(√357)/29 ≈ ±0.651533
Step-by-step explanation:
The relation between sine and cosine is ...
sin(x) = ±√(1 -cos(x)^2)
sin(x) = ±√(1 -(-22/29)^2) = √(1 -484/841) = √(357/841)
sin(x) = ±(√357)/29
_____
Additional comment
The sign of the cosine is negative, which places the angle in quadrant II or III. In quadrant II, the sine is positive; in quadrant III, the sine is negative. That is, we cannot tell which sign to apply from the information given.
(20, 21, 29) is a Pythagorean triple. We suspect a typo in the question: 22 is used where 20 or 21 is likely intended.
