document.write( "Question 1107462: if sin(x+30)°=cos40° find x \n" ); document.write( "
Algebra.Com's Answer #722467 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
if you are allowed to use your calculator to find the answer to this poroblem, then:\r
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\n" ); document.write( "\n" ); document.write( "cos(40) = .7660444431.\r
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\n" ); document.write( "\n" ); document.write( "let the angle you are looking for the sine of be equal to y.\r
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\n" ); document.write( "\n" ); document.write( "you get sin(y) = .7660444431.\r
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\n" ); document.write( "\n" ); document.write( "arcsin(.766044431) = y\r
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\n" ); document.write( "\n" ); document.write( "solve for y to get y = 50 degrees.\r
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\n" ); document.write( "\n" ); document.write( "y is equal to x + 30 which makes x equal to 20 degrees.\r
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\n" ); document.write( "\n" ); document.write( "you get sin(20 + 30) = cos(40)\r
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\n" ); document.write( "\n" ); document.write( "simplify to get sin(50) = cos(40).\r
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\n" ); document.write( "\n" ); document.write( "sin(50) = .7660444431.\r
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\n" ); document.write( "\n" ); document.write( "cos(40) = the same.\r
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\n" ); document.write( "\n" ); document.write( "x = 20 degrees is your solution.\r
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