document.write( "Question 692961: find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2 \n" ); document.write( "

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find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2
\n" ); document.write( "sinx=1/4=opp side/hypotenuse
\n" ); document.write( "adj side=√(4^2-1^2)=√(16-1)=√15
\n" ); document.write( "cosx=√15/4
\n" ); document.write( "sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2]
\n" ); document.write( "..
\n" ); document.write( "calculator check:
\n" ); document.write( "sinx=(1/4)
\n" ); document.write( "x≈0.2527..
\n" ); document.write( "x/2≈0.1263..
\n" ); document.write( "sin(0.1263)≈0.126..
\n" ); document.write( "√[(1-√15/4)/2]≈0.126.. \n" ); document.write( "

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