document.write( "Question 1118055: Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
\n" ); document.write( "2 sin^2 x + 7 cos x = 5
\n" ); document.write( "sec^2 x − 3 tan x = −1
\n" ); document.write( "tan^2 x + tan x − 30 = 0\r
\n" ); document.write( "\n" ); document.write( "Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use n as an integer constant.)
\n" ); document.write( "y = sin πx/8+1\r
\n" ); document.write( "\n" ); document.write( "Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
\n" ); document.write( "2 cos x/3-sqrt2=0 \n" ); document.write( "
Algebra.Com's Answer #733283 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Use inverse functions where needed to find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
\n" ); document.write( "2 sin^2 x + 7 cos x = 5
\n" ); document.write( "2(1-cos^2(x)) + 7cos(x) = 5
\n" ); document.write( "2-2cos^2(x) + 7cos(x) = 5
\n" ); document.write( "2cos^2(x) - 7cos(x) + 3 = 0
\n" ); document.write( "(2cos(x)-1)(cos(x)-3) = 0
\n" ); document.write( "cos(x) = 1/2 or cos(x) = 3 (extraneous)
\n" ); document.write( "Ans: x = pi/3 or x = -pi/3
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\n" ); document.write( "\n" ); document.write( "sec^2 x − 3 tan x = −1
\n" ); document.write( "tan^2(x)+1 - 3tan(x) = -1
\n" ); document.write( "tan^2(x) - 3tan(x) +2 = 0
\n" ); document.write( "(tan(x)-1)(tan(x)-2) = 0
\n" ); document.write( "tan(x) = 1 or tan(x) = 2
\n" ); document.write( "x = pi/4 or 5pi/4 or 1.107 or 4.25
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\n" ); document.write( "\n" ); document.write( "tan^2 x + tan x − 30 = 0
\n" ); document.write( "(tan(x)+6)(tan(x)-5) = 0
\n" ); document.write( "tan(x) = -6 or tan(x) = 5
\n" ); document.write( "x = -1.406 or -4.547 or 1.373 or 4.515
\n" ); document.write( "Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use n as an integer
\n" ); document.write( "Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
\n" ); document.write( "2 cos x/3-sqrt2=0
\n" ); document.write( "2*cos(x/3) = sqrt(2)
\n" ); document.write( "cos(x/3) = sqrt(2)/2
\n" ); document.write( "x/3 = arccos(sqrt(2)/2) = 0.7854 or -0.7854
\n" ); document.write( "x = 2.356 or -2.356
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
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