Question 750672
tan^2(theta)-3sec(theta)+3=0
Solve for values on the unit circle in value of pi.
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{{{tan^2(x)-3sec(x)+3=0}}}
{{{(sin^2(x)/cos^2(x))-3/cos(x)+3=0}}}
LCD:cos^2(x)
{{{sin^2(x)-3cos(x)+3cos^2(x)=0}}}
{{{1-cos^2(x)-3cos(x)+3cos^2(x)=0}}}
{{{1-3cos(x)+2cos^2(x)=0}}}
2cos^2(x)-3cos(x)+1=0
(2cos(x)-1)(cos(x)-1)=0
..
2cosx-1=0
cosx=1/2
x=π/3, 5π/3 (in Q1 and Q4 where cos>0)
..
cosx-1=0
cosx=1
x=0