document.write( "Question 732452: given that cosA=1/3 where A is an acute angle, the exact value of cos A/2 equals \n" ); document.write( "
Algebra.Com's Answer #447853 by lwsshak3(11628)\"\" \"About 
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given that cosA=1/3 where A is an acute angle, the exact value of cos A/2 equals
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\n" ); document.write( "use half-angle formula for cos:
\n" ); document.write( "cos(A/2)=√[(1+cosA)/2]=√(1+(1/3))/2)=√((4/3)/2)=√(4/6)=√(2/3)
\n" ); document.write( "Check with calculator:
\n" ); document.write( "cosA=1/3
\n" ); document.write( "A≈70.5288º
\n" ); document.write( "A/2≈35.2644º
\n" ); document.write( "cos(A/2)≈cos35.2644º≈0.8165
\n" ); document.write( "√(2/3)≈0.8165
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