Question
what is the exact value of tan375degrees
Answers
Ms. Sue
http://www.google.com/search?hl=en&rlz=1G1GGLQ_ENUS374&&sa=X&ei=RVcMTO7-HoL88AblxfyKBw&ved=0CB4QBSgA&q=tan+375+degrees&spell=1
Haley
no, i need an exact answer
John
tan(375 degrees) = 0.267949192
Ms. Sue
Did you click on the above link?
tan(375 degrees) = 0.267949192
tan(375 degrees) = 0.267949192
Christine
yes, but that is not an exact answer. i need a fraction of some sort, not a rounded decimal
Christine
if that confused you, haley and i are working together.
MathMate
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
=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
Jen
Or...you changed your name to "Haley" because "Christine" posted so many questions.
Christine
haha that would be funny, but really there are two of us here (: