csc 5(pi)/6 and how did you get it?
2006-12-07 14:02:17 · 3 answers · asked by Mikey 2 in Science & Mathematics ➔ Mathematics
Csc(theta) = 1/sin(theta)
sin(5pi/6) = sin(150 degrees)
150 degrees has the same sine as 30 degrees. A well-known identity in trigonometry is the 30-60-90-degree triangle. The sine of 30 degrees is .5
So csc(5pi/6) = 1/sin(5pi/6) = 1/sin(150 degrees) = 1/sin(30 degrees) = 1/.5 = 2
2006-12-07 14:08:38 · answer #1 · answered by firefly 6 · 0⤊ 0⤋
well you find sin at 5pi/6 (which is 150 degrees) which is 1/2, then you flip it, since csc is 1/sin, so the answer should be 2.
2006-12-07 22:06:38 · answer #2 · answered by Christie 3 · 0⤊ 0⤋
= 1/ (sin 5(pi)/6)
= 1/ (sin pi/6)
5pi/6 is in 2nd quadrant, remember... sin (pi - x) = sin x
= 1 / (1/2)
= 2
2006-12-07 22:06:50 · answer #3 · answered by Imoet 2 · 0⤊ 0⤋