Asked by Haley
what is the exact value of tan375degrees
Answers
Answered by
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
Answered by
Haley
no, i need an exact answer
Answered by
John
tan(375 degrees) = 0.267949192
Answered by
Ms. Sue
Did you click on the above link?
tan(375 degrees) = 0.267949192
tan(375 degrees) = 0.267949192
Answered by
Christine
yes, but that is not an exact answer. i need a fraction of some sort, not a rounded decimal
Answered by
Christine
if that confused you, haley and i are working together.
Answered by
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
Answered by
Jen
Or...you changed your name to "Haley" because "Christine" posted so many questions.
Answered by
Christine
haha that would be funny, but really there are two of us here (:
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.