what is the exact value of tan375degrees

9 answers

http://www.google.com/search?hl=en&rlz=1G1GGLQ_ENUS374&&sa=X&ei=RVcMTO7-HoL88AblxfyKBw&ved=0CB4QBSgA&q=tan+375+degrees&spell=1
no, i need an exact answer
tan(375 degrees) = 0.267949192
Did you click on the above link?

tan(375 degrees) = 0.267949192
yes, but that is not an exact answer. i need a fraction of some sort, not a rounded decimal
if that confused you, haley and i are working together.
tan(375°)
=tan(2π+15°)
=tan(15°)

Since tan(30°)=(√3)/2,
we use
tan(θ/2)=(1-cosθ)/sinθ, or
tan(θ/2)=sinθ/(1+cosθ)

Thus
tan(15°)
=(1-cos(30°))/sin(30°)
=(1-√3/2)/(1/2)
=2-√3
Or...you changed your name to "Haley" because "Christine" posted so many questions.
haha that would be funny, but really there are two of us here (:
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