Question

Find the exact values of each
Please show an explanation

Answer 1

sin pie/ 6

Answer 2

do you not have a pic of the unit circle? what is the degree measure of pi/6 .

Answer 3

Im not allowed to use the unit circle on the test I have.

Answer 4

in a 30-60-90 triangle, sin(30) = 1/2. (30 = pi/6 btw)

Answer 5

find pi/6 on the unit circle of the attached cheat sheet
the second coordinate is sine

Answer 6

if you cannot use the unit circle, then you need to memorize it

Answer 7

How would I do that? Any easy ways?

Answer 8

should try to have it memorized. 30-60 increments have a denominator of 6. then look at the numerator relationships. then 45 increments have a 4 in the denominator.

Answer 9

@sourwing if you believe pi/6 = 30, give me $30 today and i will return to you pi/6 dollars tomorrow
i will even round up to $1

Answer 10

@xkylex memorize the lengths of the sides of a pi/6,pi/3,pi/2 right triangle
they are 1/2, sqrt(3)/2, 1 for the short sides, long side, hypotenuse respectively
then you will see that sin(pi/6) = 1/2

Answer 11

if the draw tool was working, i would draw it here, but i be i can find one on google

Answer 12

Is it this way for every triangle? Ex, if I had csc(2pi/3)

Answer 13

http://en.wikipedia.org/wiki/Special_right_triangles

Answer 14

@satellite73 I don't get your joke -.- Was I supposed to say pi/6 rad = 30 degrees?

Answer 15

2pi/3 would be 120 degrees. then you would just find your reference angle would still be a 30 60 90

Answer 16

you have to know how to orient the triangle inside the unit circle

Answer 17

and the simple point i am trying to make is that pi/2,pi/3,pi/6 etc are numbers
it is true that as a measure of angles in radians they correspond to other numbers measured in degrees, but translating to degrees has nothing to do with trig
when you are asked to square 3, you don't ask if 3 is in degrees or radian, or Fahrenheit or Celsius, it is just a number

Answer 18

I understand how to find the degree. I know its 120-90=30. Then it would be a 30,60,90 triangle, but how would I find the numbers of the sides, and how would I know which sides that need to be divided by eachother

Answer 19

if i had the draw tool i could show you
but alas it is not working
you have to put the appropriate triangle in the right spot in the unit circle

Answer 20

sin>csc
cos>sec
tan>cot
reciprocal functions.
just find in terms of sin cos tan
then take the reciprocal for csc. which would be sin
and like he says. with the drawing tool it would be so much easier

Answer 21

Would microsoft paint work well?