If tanθ = -1/2, find sinθ?
1 Answer
Apr 24, 2018
Explanation:
#tantheta<0" #
#rArrtheta" lies in second or fourth quadrant"#
#sintheta>0" in second quadrant"#
#sintheta<0" in fourth quadrant"#
#"using the "color(blue)"trigonometric identities"#
#•color(white)(x)cottheta=1/tantheta" and "sintheta=1/csctheta"#
#•color(white)(x)csc^2theta=1+cot^2theta#
#cottheta=1/tantheta=1/(-1/2)=-2#
#rArrcsctheta=+-sqrt(1+(-2)^2)=+-sqrt5#
#rArrsintheta=+-1/sqrt5#