Question

Find the exact real value of arcsin(-square root of 3/2).

Answer 1

pi/3
pi
7pi/3
-pi/3

Answer 2

@zepdrix

Answer 3

@douglaswinslowcooper

Answer 4

This is the angle that has a sine of -sqrt(3)/2

look at triangle with sides 1 and sqrt(3) and hypotenuse 2,
see what that angle is, then figure out how much more you need to increase it to get the sine to have a negative value, which puts the angle between pi and 2pi usually.

Answer 5

pi/3? @douglaswinslowcooper

Answer 6

or would it be negative?

Answer 7

yeah it would be negative because there is a negative in front

Answer 8

pi/3 would have a positive sine, move to pi/3 + pi = 4pi/3, but that is not an option,
so go back from 0 to -pi/3 because sine is negative between 0 and - pi.

Answer 9

so was i right?

Answer 10

sin(-60 degrees) = -sqrt(3)/2 right

Answer 11

so it would be pi/3 or -pi/3? you confused me

Answer 12

sorry, your -pi/3 is correct