One last problem! Please help! This one I was having trouble with as well. Click attached PLEASE

Question

anonymous · Answer

attachment

hero · Answer

Hint: 

$\tan x(\tan x - 1) = 0$

hero · Answer

2nd Hint: 

$\tan x = 0$
$\tan x - 1 = 0$

australopithecus · Answer

$$\frac{\sin^2(x)}{\cos^2(x)} - \frac{\sin(x)}{\cos(x)}  = 0$$

=

what makes sin(x) = 0?

hero · Answer

Third Hint:

$ x = \tan^{-1}(0)$
$x = \tan^{-1}(1)$

australopithecus · Answer

what ever makes sin(x) 0 makes tan(x) = 0

hero · Answer

No giving of answers @muhammad9t5

anonymous · Answer

hi let tanx=y then solve it by factorizing or quadratic equation.

anonymous · Answer

@Hero yes sir now i do explanation.

anonymous · Answer

@IloveCharlie did you get me?

australopithecus · Answer

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 · Answer

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 · Answer

its better to solve it yourself...

anonymous · Answer

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 · Answer

@IloveCharlie  do you understand?

anonymous · Answer

So 0 degree into radians= 0. 45 degree into radians= pi/4

australopithecus · Answer

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