Find value of sin (- 13 pi/3)
Question:
Find the value of sin (- 13pi/3)
Solution:
using formula: sin (- x) = - sin x
sin (- 13pi/3) = - sin (13pi/3)
13pi/3 = 4pi + pi/3 = 2pi × 2 + pi/3
sin (- 13pi/3) = - sin (13pi/3) = - sin (2pi × 2 + pi/3)
using formula: sin (2pi × k + x) = sin x, k is an integer
- sin (- 13pi/3)
- = - sin (13pi/3)
- = - sin (2pi × 2 + pi/3)
- = - sin (pi/3)
- = - sin 60o
- = - Sqrt (3)/2
Therefore, sin (- 13 pi/3) = - Sqrt (3)/2. Watch the video for more details.