document.write( "Question 850816: 1) Find the exact value of (Sin 130*)(cos 132*)+(cos 138*)(sin 132*)\r
\n" ); document.write( "\n" ); document.write( "2) Simplify cos [a+pi/3]\r
\n" ); document.write( "\n" ); document.write( "3) Find the exact value of sin (60*+45*)\r
\n" ); document.write( "\n" ); document.write( "4) Find the exact value of cos [pi/3-pi/4]\r
\n" ); document.write( "\n" ); document.write( "5) Graph f(x) =-cos (3x+pi)\r
\n" ); document.write( "\n" ); document.write( "6) Graph f(x) = cos3 [x+pi/3]\r
\n" ); document.write( "\n" ); document.write( "7) Find the phase shift and period for the function f(x)=3sin[x/2+pi] \n" ); document.write( "

Algebra.Com's Answer #512428 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "I'll just tell you how.\r\n" );
document.write( "

\n" ); document.write( "1) Find the exact value of (Sin 130*)(cos 132*)+(cos 138*)(sin 132*)
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document.write( "Use the formula sin(A+B) =sin(A)cos(B)+cos(A)sin(B)\r\n" );
document.write( "by substituting A=132°, B=138°, then use sin(270°) = -1\r\n" );
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\n" ); document.write( " 2) Simplify cos [a+pi/3]
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document.write( "Use cos(A+B) = cos(A)cos(B)-sin(A)sin(B)\r\n" );
document.write( "with A=a and B= then use  and \r\n" );
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\n" ); document.write( "3) Find the exact value of sin (60*+45*)
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document.write( "Use \r\n" );
document.write( "sin(A+B) =sin(A)cos(B)+cos(A)sin(B)\r\n" );
document.write( "with A=60° and B=45° \r\n" );
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document.write( " and \r\n" );
document.write( " and \r\n" );
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\n" ); document.write( "4) Find the exact value of cos [pi/3-pi/4]
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document.write( "Use cos(A-B) = cos(A)cos(B)+sin(A)sin(B)\r\n" );
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document.write( "with  and  \r\n" );
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document.write( " and \r\n" );
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document.write( "and\r\n" );
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document.write( " and \r\n" );
document.write( "

\n" ); document.write( "5) Graph f(x) =-cos (3x+pi)
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document.write( "Write as f(x) = -cos[3(x+)]\r\n" );
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document.write( "The five basic points of the graph of y=cos(x) are \r\n" );
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document.write( "(0,1),(,0),(,-1), (,0), (,1) \r\n" );
document.write( "\r\n" );
document.write( "The five basic points of the graph of y=-cos(x) are found by changing\r\n" );
document.write( "the signs of the y-coordinates of the basic five points of the\r\n" );
document.write( "graph of y=cos(x):\r\n" );
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document.write( "(0,-1),(,0),(,1), (,0), (,-1)\r\n" );
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document.write( "The five basic points of the graph of y=-cos(3x) are found by dividing \r\n" );
document.write( "the x-coordinates of the basic five points of the graph of y=-cos(x)\r\n" );
document.write( "by 3:\r\n" );
document.write( "\r\n" );
document.write( "(0,-1),(,0),(,1), (,0), (,-1)\r\n" );
document.write( "\r\n" );
document.write( "The five basic points of the graph of y=-cos[3(x+ from the x-coordinates \r\n" );
document.write( "of the basic five points of the graph of y=-cos(3x).\r\n" );
document.write( "\r\n" );
document.write( "(,-1),(,0),(,1), (,0), (,-1)\r\n" );
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document.write( "(,-1),(,0),(,1), (,0), (,-1)\r\n" );
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document.write( "Plot those points and draw a curve through them.\r\n" );
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\n" ); document.write( "6) Graph f(x) = cos[3(x+ $\"pi%2F3\"$ )]
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document.write( "That's the same problem as 5) except since it's positive,\r\n" );
document.write( "you don't do the first step of changing the signs of the y-coordinates.\r\n" );
document.write( "

\n" ); document.write( "7) Find the phase shift and period for the function f(x)=3sin[x/2+pi]
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document.write( "Write as f(x) = 3sin(x+)\r\n" );
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document.write( "Then as f(x) = 3sin(x+)\r\n" );
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document.write( "Then as f(x) = 3sin(\r\n" );
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document.write( "Then as f(x) = 3sin[(x+)\r\n" );
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document.write( "Then use the formula:\r\n" );
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document.write( "The period of y = Asin[B(x+C)] is \r\n" );
document.write( "and its phase shift is \r\n" );
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document.write( "Edwin

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