document.write( "Question 1178306: Verify the given identity.
\n" ); document.write( "sin 4x = 4 sin x cos3 x − 4 cos x sin3 x
\n" ); document.write( "Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify completely at each step.)\r
\n" ); document.write( "\n" ); document.write( "sin 4x = 2(sin 2x) (cos(2x))
\n" ); document.write( "=2(2 sin x)(blank))(cos^2 x − sin(x)^2
\n" ); document.write( "=4 sin x cos^3 x − (blank)\r
\n" ); document.write( "\n" ); document.write( "I just need help filling in the two blanks. I did 2 of them already but just don't know what the other 2 are.\r
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Algebra.Com's Answer #807518 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"sin+%284x%29+=+4sin+%28x%29+cos%5E3%28x%29+-+4cos+%28x%29+sin%5E3%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "Repeatedly use the Double-Angle Identities as needed, and then multiply out the products. (Simplify completely at each step.)\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=+4sin+%28x%29+cos%5E3%28x%29+-+4cos+%28x%29+sin%5E3%28x%29\"........\"cos%5E3%28x%29=%281%2F4%29+%283cos%28x%29+%2B+cos%283+x%29%29\" and \"sin%5E3%28x%29=%281%2F4+%29%283+sin%28x%29+-+sin%283+x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=++sin+%28x%29cos%283+x%29%29++%2B+cos+%28x%29+sin%283+x%29%29\"....\"cos%283+x%29=cos%28x%29+%282+cos%282+x%29+-+1%29\", and \"sin%283+x%29=sin%28x%29+%282+cos%282+x%29+%2B+1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=++sin+%28x%29cos%28x%29+%282+cos%282+x%29+-+1%2B+2+cos%282+x%29+%2B+1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=++sin+%28x%29cos%28x%29+%284+cos%282x%29+%29\"....\"sin+%28x%29cos%28x%29=%281%2F2%29+sin%282+x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=++%281%2Fcross%282%29%29+sin%282+x%29+%28cross%284+%292cos%282x%29+%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=++sin%282x%29%282cos%282x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=+2sin%282x%29cos%282x%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"sin+%284x%29+=+sin%284x%29+\" \r
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