anonymous
  • anonymous
One last problem! Please help! This one I was having trouble with as well. Click attached PLEASE
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
Hero
  • Hero
Hint: \(\tan x(\tan x - 1) = 0\)
Hero
  • Hero
2nd Hint: \(\tan x = 0\) \(\tan x - 1 = 0\)

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Australopithecus
  • Australopithecus
\[\frac{\sin^2(x)}{\cos^2(x)} - \frac{\sin(x)}{\cos(x)} = 0\] = what makes sin(x) = 0?
Hero
  • Hero
Third Hint: \( x = \tan^{-1}(0)\) \(x = \tan^{-1}(1)\)
Australopithecus
  • Australopithecus
what ever makes sin(x) 0 makes tan(x) = 0
Hero
  • Hero
No giving of answers @muhammad9t5
anonymous
  • anonymous
hi let tanx=y then solve it by factorizing or quadratic equation.
anonymous
  • anonymous
@Hero yes sir now i do explanation.
anonymous
  • anonymous
@IloveCharlie did you get me?
Australopithecus
  • Australopithecus
since there are no values in the answer that zero it out what value of x can make sin(x) = cos(x) because if sin(x) = cos(x) sin(x)/cos(x) = 1 and 1 - 1 = 0
anonymous
  • anonymous
Hmm, o.k. I understand the input you guys are giving me. Would anyone b willing to solve it step by step with me though? That way I fully understand step by step?
anonymous
  • anonymous
its better to solve it yourself...
anonymous
  • anonymous
ok i am getting tanx=y there fore y^2-y=0 y(y-1)=0 either or y=0 y+1=0 y=0 y=1 but y=tanx s put in above tanx=0 tanx=1 x=tan^-1(0) x=tan^-1(1) x=0degree x= 45 degree now convert degree into radians yourself hint::1degree=pi/180 rad
anonymous
  • anonymous
@IloveCharlie do you understand?
anonymous
  • anonymous
So 0 degree into radians= 0. 45 degree into radians= pi/4
Australopithecus
  • Australopithecus
|dw:1343892306689:dw|
anonymous
  • anonymous
question plee
anonymous
  • anonymous
@IloveCharlie yes.
Australopithecus
  • Australopithecus
this is the unit circle look at the coordinates for the radians
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Australopithecus
  • Australopithecus
and then read what I said
Australopithecus
  • Australopithecus
remember when sin(x) = 1 sin(x)^(2) = 1^(2) = 1
anonymous
  • anonymous
@IloveCharlie whats up?
anonymous
  • anonymous
pi/4?
anonymous
  • anonymous
That's what I got from reading the chart you provided
anonymous
  • anonymous
But pi/4 is in all options. How do I know which one it is
anonymous
  • anonymous
thre are two answer 0 and pi/4 for all solutions {0}U{pi/4} {pi/4} answer.
anonymous
  • anonymous
So c. Thank you so much! I appreciate everyones help
anonymous
  • anonymous
i was just waiting for it!!!!!!!!! hahahaha Thanks.

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