anonymous
  • anonymous
Expand and simplify...the drawing is down below
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\sum_{n=1}^{3} 1/ n^3\]
anonymous
  • anonymous
expand!
anonymous
  • anonymous
i forgot how to @nphuongsun93 :(

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anonymous
  • anonymous
\[\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}\]
anonymous
  • anonymous
would 1.16 be the answer?
anonymous
  • anonymous
yep
anonymous
  • anonymous
thank you, i also have another question... without a calculator, how would I determine the exact value of tan 7pi/4, tan 2pi/3, cot 11pi/4, and sin^-1(sin 7 pi/6)? do you happen to know how to do this? @nphuongsun93
anonymous
  • anonymous
yea. you will need to memorize the answers to sin(pi/4) and cos(pi/4), sin(pi/3) and cos(pi/3) though
anonymous
  • anonymous
what would be the answers to sin(pi/4) and all of what you said?
anonymous
  • anonymous
sin(pi/4) = sin(45degree) = sqrt(2)/2 cos(pi/4) = cos(45degree) = sqrt(2)/2 sin(pi/3) = sin(60degree) = sqrt(3)/2 cos(pi/3) = cos(60degree) = 1/2 sin(pi/6) = sin(30degree) = 1/2 cos(pi/6) = cos(30degree) = sqrt(3)/2 for example tan (7pi/4) 7pi/4 is in the quadrant 4 so sin is negative and cos is positive tan (7pi/4) = sin (7pi/4)/cos (7pi/4) = -sqrt(2)/2 / sqrt(2)/2 = -1
anonymous
  • anonymous
so how would I solve tan 2pi/3? or sin^-1 (sin 7pi/6)? I don't understand what I'm confused about. @nphuongsun93
anonymous
  • anonymous
so how would I solve tan 2pi/3? or sin^-1 (sin 7pi/6)? I don't understand what I'm confused about. @nphuongsun93
anonymous
  • anonymous
do you understand how i got those answers and how i know when sin and cos are postive or negative?
anonymous
  • anonymous
I know why they are negative, how did you get the answers? are they off the unit circle?
anonymous
  • anonymous
|dw:1378271861732:dw| 2pi/3 = 120 degree so sin 2pi/3 = sqrt3/2 and cos 2pi/3 = -1/2 understand this part?
anonymous
  • anonymous
yes
anonymous
  • anonymous
yea then tan = sin/cos do you want to try (sin 7pi/6)?
anonymous
  • anonymous
so i would do sqrt 1/2?
anonymous
  • anonymous
for me i would try to find its angle in degree first and that would be 210degree and visualize this image|dw:1378272344862:dw| because it's in quadrant 3, both sin and cos are negative sin 7pi/6 would be - 1/2

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