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Find tan ?.

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Suppose that angle ? is in Quadrant I and cos ? = 12/13. Find tan ?.

asked Oct 23, 2018 in ALGEBRA 2 by anonymous

1 Answer

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Given cos θ = 12/13

Sin θ  =  √(1 - cos^2 θ)

          =  √[ 1 - (12/13)^2 ]

          =  √[ 1 - 144/169 ]

          =  √[ (169 - 144)/169 ]

          =  √[ 25/169 ]

          =  5/13

Tan θ  =  Sin θ / cos θ

           =  (5/13) / (12/13)

           =  (5/13) X (13/12)

           =  5/12                       

Answer :

Tan θ  =  5/12.

answered Oct 24, 2018 by homeworkhelp Mentor

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