IloveCharlie
One last problem! Please help! This one I was having trouble with as well. Click attached PLEASE
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IloveCharlie
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Hero
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Hint:
\(\tan x(\tan x - 1) = 0\)
Hero
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2nd Hint:
\(\tan x = 0\)
\(\tan x - 1 = 0\)
Australopithecus
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\[\frac{\sin^2(x)}{\cos^2(x)} - \frac{\sin(x)}{\cos(x)} = 0\]
=
what makes sin(x) = 0?
Hero
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Third Hint:
\( x = \tan^{-1}(0)\)
\(x = \tan^{-1}(1)\)
Australopithecus
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what ever makes sin(x) 0 makes tan(x) = 0
Hero
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No giving of answers @muhammad9t5
muhammad9t5
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hi let tanx=y then solve it by factorizing or quadratic equation.
muhammad9t5
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@Hero yes sir now i do explanation.
muhammad9t5
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@IloveCharlie did you get me?
Australopithecus
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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
IloveCharlie
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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?
muhammad9t5
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its better to solve it yourself...
muhammad9t5
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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
muhammad9t5
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@IloveCharlie do you understand?
IloveCharlie
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So 0 degree into radians= 0. 45 degree into radians= pi/4
Australopithecus
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|dw:1343892306689:dw|
rajeshkumar6447
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question plee
muhammad9t5
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@IloveCharlie yes.
Australopithecus
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this is the unit circle look at the coordinates for the radians
Australopithecus
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and then read what I said
Australopithecus
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remember
when sin(x) = 1
sin(x)^(2) = 1^(2) = 1
muhammad9t5
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@IloveCharlie whats up?
IloveCharlie
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pi/4?
IloveCharlie
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That's what I got from reading the chart you provided
IloveCharlie
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But pi/4 is in all options. How do I know which one it is
muhammad9t5
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thre are two answer 0 and pi/4 for all solutions
{0}U{pi/4}
{pi/4} answer.
IloveCharlie
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So c. Thank you so much! I appreciate everyones help
muhammad9t5
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i was just waiting for it!!!!!!!!! hahahaha Thanks.