Answer:
sin 15° = 0.2588
Step-by-step explanation:
The half angle formula is:
[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]
sin 15°
The double of 15º is 30º. First quadrant, so the sine is positive.
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]
Since [tex]\cos{30} = 0.866[/tex]
[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]
sin 15° = 0.2588
