could someone please help me solve this problem? find the exact value, in radians, without using calculator, of sin -1(square of 3/-2)

Question

amistre64 · Answer

how to solve?  its more memorization than anything; these numbers are most common with the 60-30 degrees

amistre64 · Answer

sin(t) = sqrt(3)/-2

amistre64 · Answer

-60 = -pi/3

mathteacher1729 · Answer

http://upload.wikimedia.org/wikipedia/commons/4/4c/Unit_circle_angles_color.svg that is your best friend. "What value of theta give sin(theta) = -sqrt(3)/2" is what your question is asking. :)

amistre64 · Answer

sin-1 has a range of -pi/2 to pi/2; so -pi/3 is the value it gives