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anonymous
 5 years ago
is my work correct ?
here is the problem:
tan(arccos(1/2)+arccos(2/3))
let A=arccos(1/2)
let A=arccos(2/3)
tan(A+A)=tan(2A)
tan(2A)=2tanA/1tan^2A
=2(√3)/(1(√3)^2
=2√3/1+3
=2√3/4
=√3/2
anonymous
 5 years ago
is my work correct ? here is the problem: tan(arccos(1/2)+arccos(2/3)) let A=arccos(1/2) let A=arccos(2/3) tan(A+A)=tan(2A) tan(2A)=2tanA/1tan^2A =2(√3)/(1(√3)^2 =2√3/1+3 =2√3/4 =√3/2

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Owlfred
 5 years ago
Best ResponseYou've already chosen the best response.0Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can't call two different things the same variable and then add them like they are the same.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there is an identity for tan(A+B) though

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats what i thought. but when i did it as tan(A+B) which would be tanA+tanb/1tanAtanB it did not correspond with the answer my teacher gave which is √3/3.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think sqrt(3)/3 is incorrect

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0maple is saying that isn't right. Let me work the problem.. one sec.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i got (9sqrt(3)+8sqrt(5))/(11)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats what maple got too

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so my numerator is right but my denominator is wrong. can you explain how you got the denominator?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0my denominator was initially 1+sqrt(3)*sqrt(5)/2, so i multiplied top and bottom by the conjugate: then in the denominator you get 115/4. In the numerator there was a common factor of 1/4 so i multiplied the denominator by 4: 415=11

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohhh never mind i got it. thanks soo much for your help!!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah i play the cello&piano and i can carry a tune =) also how do i give you a medal for your answer?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh if you want you click "good answer" in line with my name on one of my posts: I play classical/jazz violin and guitar. I like cello and piano a lot.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh thats great ! nice to meet a fellow musician =)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well good luck with your math, talk to you later

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok i got that. could you have used the quadratic formula to solve the equation?
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