document.write( "Question 761442: The solution(s) of the equation
\n" ); document.write( "2cos^2 x tan x=tan x, over the interval [0,2π)
\n" ); document.write( "is (are)? \r
\n" ); document.write( "\n" ); document.write( "Can you please explain to me how you got the answer?\r
\n" ); document.write( "\n" ); document.write( "(a) x=0
\n" ); document.write( "(b) 𝑥=0,𝜋
\n" ); document.write( "(c) 𝑥=0,𝜋4,3𝜋4,𝜋,5𝜋4
\n" ); document.write( "(d) 𝑥=0,𝜋4,3𝜋4,𝜋,5𝜋4,7𝜋4
\n" ); document.write( "(e) None of the above.
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Algebra.Com's Answer #463241 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
2cos^2xtanx = tanx
\n" ); document.write( "2cos^2xtanx - tanx = 0
\n" ); document.write( "tanx(2cos^2x - 1) = 0
\n" ); document.write( "tanx = 0
\n" ); document.write( " x = 0, pi, 2pi.
\n" ); document.write( "2cos^x - 1 = 0
\n" ); document.write( " 2cos^2x = 1
\n" ); document.write( " cos^2x = 1/2
\n" ); document.write( " cosx = 1/sqrt2
\n" ); document.write( " x = pi/4, 7pi/4\r
\n" ); document.write( "\n" ); document.write( "[0,pi/4,pi,7pi/4 and 2pi]
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
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