Homework Help: Math

Posted by Oscar on Wednesday, February 6, 2013 at 9:24pm.

Find sec θ and csc θ. If tan θ =3 and cos θ>0. Please helpp, i don't get identities

Math - Reiny, Thursday, February 7, 2013 at 8:17am
cosŲ>0 tells me Ų is in either I or IV
tanŲ = 3 tells me Ų is in I or III
So Ų must be in the 1st quadrant

tanŲ = 3 = 3/1 = opposite/adjacent
so construct your triangle with those sides,
easy to see that the hypotenuse is √10

so cosŲ = 1/√10 ----> secŲ = √10
and sinŲ = 3/√10 ---> cscŲ = √10/3

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