Evaluate the expression under the given conditions (show steps please)

Question

sin(è/2); tan è = − 5 / 12 , è in Quadrant IV

Answer 1

5^2+12^2 = h^2
25+144 = h^2 = 169
so hypotenuse = h = 13
sin e = -5/13
cos e = 12/13

sin(e/2) = -sqrt( [1-cos e] /2 )
sin(e/2) = -sqrt (1/13/2) = -sqrt(1/26)

Answer 2

Thank you!!!!