SOLUTION: if (triangle)ABC is a 30 degree, 60 degree, 90 degree triangle with m angleA=30 find sin A cos A, and tan A. Give the answers as franctions with simplified radicals.

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Question 192272: if (triangle)ABC is a 30 degree, 60 degree, 90 degree triangle with m angleA=30 find sin A cos A, and tan A. Give the answers as franctions with simplified radicals.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us see the triangle with the dimensions:

By Trigo Functions:
sinA=opposite%2Fhypotenus=a%2Fc
red%28sin30%5Eo=1%2F2%29=a%2Fc

*Take note: a=1, c=2, b=?


By Pyth.Theorem:
c%5E2=a%5E2%2Bb%5E2
b%5E2=c%5E2-a%5E2=2%5E2-1%5E2=4-1=3
red%28b=sqrt%283%29%29

cosA=adjacent%2Fhypotenuse=b%2Fc
red%28cos30%5Eo=sqrt%283%29%2F2%29


tanA=opposite%2Fadjacent=a%2Fb
red%28tan30%5Eo=1%2Fsqrt%283%29%29

Thank you,
Jojo