document.write( "Question 820891: Give the exact value of the following:
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document.write( "cos(sin inverse(1/5)+ cos inverse(2/7)) \n" );
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Algebra.Com's Answer #493808 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Give the exact value of the following: \n" ); document.write( "cos(sin inverse(1/5)+ cos inverse(2/7)) \n" ); document.write( "*** \n" ); document.write( "let x=angle whose sine=1/5 \n" ); document.write( "sinx=1/5 \n" ); document.write( "cosx=√(1-sin^2x)=√(1-(1/25))=√(24/25)=√24/5 \n" ); document.write( ".. \n" ); document.write( "let y=angle whose cos=2/7 \n" ); document.write( "cosy=2/7 \n" ); document.write( "siny=√(1-cos^2y)=√(1-4/49)=√(45/49)=√45/7 \n" ); document.write( ".. \n" ); document.write( "cos(sin inverse(1/5)+ cos inverse(2/7))=cos(x+y) \n" ); document.write( "cos(x+y)=cosxcosy-sinxsiny=(√24/5*2/7)-(1/5*√45/7)=(2√24/35)-(√45/35)=(2√24-√45)/35 \n" ); document.write( "cos(sin inverse(1/5)+ cos inverse(2/7))=(2√24-√45)/35 \n" ); document.write( " |