document.write( "Question 584605: if sin theta=(1/4), theta in quadrant II, find the exact value of cos(theta+pi/6) \n" ); document.write( "

Algebra.Com's Answer #372839 by lwsshak3(11628) $\"\"$ $\"About$

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if sin theta=(1/4), theta in quadrant II, find the exact value of cos(theta+pi/6)
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\n" ); document.write( "Using cos addition formula:
\n" ); document.write( "use x for theta
\n" ); document.write( "cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
\n" ); document.write( "sinx=1/4
\n" ); document.write( "cosx=√15/4
\n" ); document.write( "cos(π/6)=√3/2
\n" ); document.write( "sin(π/6)=1/2
\n" ); document.write( "cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
\n" ); document.write( "cos(x+π/6)=(√45/8)-(1/8 )
\n" ); document.write( "cos(x+π/6)=(√45-1)/8) \n" ); document.write( "

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