document.write( "Question 933502: (1). Find all solutions for x (exact values in radians): $\"+2sin%283x%29cos%28x%29+-sqrt%283%29+sin%283x%29=0+\"$ \r
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\n" ); document.write( "\n" ); document.write( "(2.) Let $\"+cos%28u%29=-%282%2F5%29%29+\"$ and $\"+pi%2F2%3Cu%3Cpi+\"$ Find each of the following\r
\n" ); document.write( "\n" ); document.write( "i. $\"+cos%28u%2B11pi%2F6%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "ii. $\"+tan%28u-7pi%2F2%29+\"$ \r
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Algebra.Com's Answer #566861 by lwsshak3(11628) $\"\"$ $\"About$

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(1). Find all solutions for x (exact values in radians): $\"+2sin%283x%29cos%28x%29+-sqrt%283%29+sin%283x%29=0+\"$
\n" ); document.write( "2sin(3x)cosx-√3sin(3x)=0
\n" ); document.write( "sin(3x)(2cosx-√3)=0
\n" ); document.write( "cos(3x)=0
\n" ); document.write( "3x=0
\n" ); document.write( "3x=π/2+2πn, 2π/3+2πn, n=any integer
\n" ); document.write( "or
\n" ); document.write( "2cosx-√3=0
\n" ); document.write( "cosx=√3/2
\n" ); document.write( "x=π/6+2πn,11π/6+2πn, n=anyinteger
\n" ); document.write( "..
\n" ); document.write( "(2.) Let $\"+cos%28u%29=-%282%2F5%29%29+\"$ and $\"+pi%2F2%3Cu%3Cpi+\"$ Find each of the following:
\n" ); document.write( "sinu=√21/5
\n" ); document.write( "tanu=-√21/2\r
\n" ); document.write( "\n" ); document.write( "i. cos(u+11π/6)=cosu*(cos(11π/6)-sinu*sin(11π/6)
\n" ); document.write( "=(-2/5*+√(3)/2)-(√(21)/5*-(1/2))=-2√(3)/10+√(21))/10=(-2√(3)+√(21)/10
\n" ); document.write( "cos(u+11π/6)=(-2√(3)+√(21))/10\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "ii. $\"+tan%28u-7pi%2F2%29+\"$ =(tanu-tan(7π/2))/(1+tanu*tan(7π/2))
\n" ); document.write( "no solution: tan(7π/2) is undefined \n" ); document.write( "

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