SOLUTION: find tan θ + sin θ for the angle θ shown Right triangle: Opp:2 Adj:3 Hyp:?

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Question 1038462: find tan θ + sin θ for the angle θ shown
Right triangle:
Opp:2
Adj:3
Hyp:?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is a 2,3,sqrt(13) triangle
tangent is opp/adj=(2/3)
sine is opp/hyp=2/sqrt (13)
Add them: common denominator is 3sqrt(13); numerator is 2 sqrt (13)+6,
[2 sqrt(13)+6]/3*sqrt(13)
after rationalizing the denominator
sqrt(13)(2sqrt(13)+6sqrt(13)]/39; the 39 comes from 3*sqrt(13)(sqrt (13)
[26+6 sqrt(13)]/39. It may be written other ways.