# Answer to Question #23244 in Trigonometry for Justin

Question #23244

Given cscθ = 3, find cos(θ).

Expert's answer

3=csc x =1/sin x

sin x = 1/3

cos^2( x ) = 1- 1/9 = 8 / 9

cos x= 2*sqrt(2) /3

or

cos x= -2*sqrt(2) /3

sin x = 1/3

cos^2( x ) = 1- 1/9 = 8 / 9

cos x= 2*sqrt(2) /3

or

cos x= -2*sqrt(2) /3

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