I'm trying to find the cosecant of 11 pi/6. The answer is -2, but I'm not sure where this came from. I thought You would flip the sine value which was sq. root of 3/2, making it 2/sq. root of three, which would then become sq. root of -6 over 3 or sq. root of -2. Why isn't there a sq. root sign? Thanks!!!

Question

I'm trying to find the cosecant of 11 pi/6.  The answer is -2, but I'm not sure where this came from.  I thought You would flip the sine value which was sq. root of 3/2, making it 2/sq. root of three, which would then become sq. root of -6 over 3 or sq. root of -2.  Why isn't there a sq. root sign? Thanks!!!

Reiny · Answer

11pi/6 is just pi/6 short of 2pi so csc 11pi/6 = csc (-pi/6) = -csc pi/6 = -1/sin pi/6 = -1/(1/2), [sin 30º = sin pi/6 = 1/2] = -2

Thameiry · Answer

I don't understand the math please I don't understand the math please . I don't understand the math please.