Question

what is the sine value of pi/6?

Answer 1

http://www.wolframalpha.com/input/?i=sin+%28pi%2F6%29&lk=4&num=1

Answer 2

Use the unit circle

http://www.regentsprep.org/regents/math/algtrig/att5/600px-Unit_circle_angles_svg.jpg

look for the angle pi/6

then look at the corresponding point on the unit circle. Specifically, look at the y coordinate

since y = sin(theta)

Answer 3

Ok!

Answer 4

1/2?

Answer 5

yep

Answer 6

if you wanted cos(pi/6), then that would be the x coordinate of that same point, so

\[\Large \cos\left(\frac{\pi}{6}\right) = \frac{\sqrt{3}}{2}\]

Answer 7

since x = cos(theta)

Answer 8

Ohh! cAN I ask one more?

Answer 9

Compare the following functions:


f(x) = − 5 sin(2x − π) + 2 g(x)

graph of a quadratic with points at 1, 2 and 3, negative 2 and 5, 2 h(x)

x y
−2 10
−1 7
0 5
1 3
2 5
3 7
4 10


Which function has the smallest minimum?

Answer 10

@jim_thompson5910