Question

exact value of sin 5pi/12

Answer 1

Hint:

use the formula

\[\large \sin\left(\frac{\theta}{2}\right) = \sqrt{\frac{1 - \cos(\theta)}{2}}\]

in this case,

\[\Large \theta = \frac{5\pi}{6}\]

Answer 2

well i changed it so that it into degrees so that sin(45+35).
i don't know where to go from here.

Answer 3

45+35 = 80, which isn't the same as 5pi/12

since 5pi/12 = 75 degrees

Answer 4

i meant 30

Answer 5

oh you could do it like that

sin(45 + 30) = sin(45)cos(30) + cos(45)sin(30)

Answer 6

see where to go from here?

Answer 7

i think so? thank you so much. i'll let you know if i have any more trouble :)

Answer 8

alright great

Answer 9

so i have gotten to