document.write( "Question 1207538: Hey, Tutor
\n" ); document.write( "Thanks for taking the time to help me. I have a few questions about graphing sin and cos functions. If you could show me the process you used to graph these, it would be great. Thankyou!
\n" ); document.write( "Q1) y= 1/2 cos ((1/2(x+pi/2))
\n" ); document.write( "Q2) y=sin (7x-2x)
\n" ); document.write( "Q3)y=2sin2(x)-2
\n" ); document.write( "Q4)How do I find the average of 2 points that are in radians. For example: Find the average between pi/-8 and 7pi/8?
\n" ); document.write( "Q5)Simplify the expression: sin60/tan*pi/3 - cos pi/4\r
\n" ); document.write( "\n" ); document.write( "Thankyou so much for this help. \n" ); document.write( "

Algebra.Com's Answer #845478 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Hey, Tutor
\n" ); document.write( "Thanks for taking the time to help me. I have a few questions about graphing sin and cos functions.
\n" ); document.write( "If you could show me the process you used to graph these, it would be great. Thankyou!
\n" ); document.write( "Q1) y= 1/2 cos ((1/2(x+pi/2))
\n" ); document.write( "Q2) y=sin (7x-2x)
\n" ); document.write( "Q3)y=2sin2(x)-2
\n" ); document.write( "Q4)How do I find the average of 2 points that are in radians. For example: Find the average between pi/-8 and 7pi/8?
\n" ); document.write( "Q5)Simplify the expression: sin60/tan*pi/3 - cos pi/4
\n" ); document.write( "Thankyou so much for this help.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

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document.write( "Q1)  In your Q1, the formula has three opening parentheses and only two closing parentheses.\r\n" );
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document.write( "     So, your writing is UNREADABLE in this case. It CONTRADICTS to rules of Math grammar.\r\n" );
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document.write( "Q2)  y = sin(7x-2x) = simplify the expression in parentheses = sin(5x).\r\n" );
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document.write( "     So, it is similar to sin(x), but x-axis is compressed with the coefficient of 5.\r\n" );
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document.write( "     Due to this reason, in the interval [0,2pi] you have 5 complete periods of sine, instead of one.\r\n" );
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document.write( "     If you want to plot it (to produce a real plot/graph), you can make a table with the input\r\n" );
document.write( "     of x values and the output of corresponding y-values; then plot each point on graph paper \r\n" );
document.write( "     and connect the points, using a pen. It is a standard way to get a sketch. This method is what the \r\n" );
document.write( "     young students learn somewhen in 4-th or 5-th grade. It is what on the line of knowledge \r\n" );
document.write( "     goes immediately after the multiplication table.\r\n" );
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document.write( "     Alternatively, you may go to website http://www.desmos.com/calculator\r\n" );
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document.write( "     There is free of charge plotting tool there, which will produce plots for you free of charge.\r\n" );
document.write( "     You only need to print an equation of your function there.\r\n" );
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document.write( "Q3)  Here your writing is not standard; therefore, I can not read your writing: \r\n" );
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document.write( "          is it  y = 2sin^2(x)-2  or  y = 2sin(2x)-2 ?\r\n" );
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document.write( "Q4)  You can find average of \"two points\" in the same as you find the average of any two quantities,\r\n" );
document.write( "     does not matter of their dimensions (radians, degrees, kilograms, meters, degrees of temperature, \r\n" );
document.write( "     dollars, hours, and so on . . . )\r\n" );
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document.write( "                 Add the two numbers and divide the sum by 2; \r\n" );
document.write( "              then write the dimension next to the final number.\r\n" );
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document.write( "     So, using your example, \r\n" );
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document.write( "         the average =  =  =  =   radians.    ANSWER\r\n" );
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document.write( "Q5)  Notice that sin(60 degrees) = sin(pi/3).\r\n" );
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document.write( "     Therefore,   -  =  -  = make standard operations with fractions =  -  =  -  = .\r\n" );
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