I was going to post a few questions I needed help on but realized someone had already posted them. Here they are:
1) If you want to switch from radians to degrees, the relationship between the two is:
2·pi (radians) = 360 (degrees) or pi (radians) = 180 (degrees)
So, if you have pi/6 radians and you want to switch it into degrees, replace the "pi"
with "180o ---> this means that pi / 6 becomes 180o / 6 or 30o
To find sin( pi / 6 ), you can find sin( 30o ).
2) If triangle(ABC) has AB = 25, BC = 25, and AC = 40, then it must be an isosceles triangle.
Draw the perpendicular from B down to side AC; call the point where they intersect X.
To find sin(ACB) look at triangle(XCB):
XC = 20 and BC = 25.
Using the Pythagorean Theorem to find BX: BX2 + XC2 = BC2.
---> BX2 + 202 = 252 ---> BX2 + 400 = 625 ---> BX2 = 225
---> BX = 15
sin(ACB) = opp / hyp = 15/25