nolancrigger1or3174 nolancrigger1or3174

16-05-2018
Mathematics

contestada

If cos θ = 5/13, use the Pythagorean Identity to find sin θ.

13/13
12/13
12/5
5/13

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Professor1994 Professor1994

16-05-2018

sin θ=sqrt(1-cos^2 θ)
sin θ=sqrt[1-(5/13)^2]
sin θ=sqrt[1-(5)^2/(13)^2]
sin θ=sqrt[1-25/169]
sin θ=sqrt[(169-25)/169]
sin θ=sqrt(144/169)
sin θ=sqrt(144)/sqrt(169)
sin θ=12/13

Answer: Second option 12/13

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