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OpenStudy (ghazi):
post your question please
OpenStudy (anonymous):
one second
OpenStudy (anonymous):
OpenStudy (ghazi):
tanx= sinx/cosx and 1-tan^2x = sec^2 x so \[2tanx/\sec ^{2}x= 2 tanx * \cos ^{2} x/\sin ^{2} x \]
OpenStudy (anonymous):
so then how do i find the solutions
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OpenStudy (ghazi):
you will get tan2x= \[2\sqrt{2}\]
OpenStudy (anonymous):
so the points on the unit circle would be what
OpenStudy (ghazi):
the general solution of this will be (30+180n) or (pi/6+ pi*n)
OpenStudy (anonymous):
none of those are the selected answers?
OpenStudy (ghazi):
okay one more alternate solution to your problem....just take y= tan^2x and solve the quadratic you're gonna get general solution
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OpenStudy (anonymous):
i dont know how to do that?
OpenStudy (ghazi):
just put tanx= y you will get 2*y= 1-y^2 rearranging the equation you'll get y^2+2y-1=0 now you can solve for y and just substitute the solution of y= tanx
OpenStudy (anonymous):
thats not one of the answers they gave!! look at the attachment
OpenStudy (ghazi):
it's d
OpenStudy (anonymous):
how did they get pi?
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OpenStudy (anonymous):
that was wrong.....thanks
OpenStudy (ghazi):
none of the option seems correct for tanx=1 and pi is included for a general solution and for in third quadrant it's tan45=1 (tan is positive)