Question

If tan 0= 15/8 and cos 0= -8/17, then what is sin 0?
Enter the answer as a fraction.

Answer 1

Answer: -15/17

Work Shown:

`\tan(\theta) = (\sin(\theta))/(\cos(\theta))\\\\\sin(\theta) = \tan(\theta)*\cos(\theta)\\\\\sin(\theta) = (15)/(8)*\left(-(8)/(17)\right)\\\\\sin(\theta) = \boldsymbol{-(15)/(17)}`

Side note: theta is in quadrant III since sin(theta) < 0 and cos(theta) < 0.