# Answer to Question #8431 in Trigonometry for Miranda

Question #8431

Find sin θ if cos θ =2/3 and θ is in quadrant 4

Expert's answer

sin θ=+-sqrt(1-cos

in 4 quadrant sin<0 so we have sin θ=-sqrt(5)/3

^{2}θ)=+-sqrt(1-4/9)=+-sqrt(5)/3in 4 quadrant sin<0 so we have sin θ=-sqrt(5)/3

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