document.write( "Question 985872: 1)If sinA=sinB and cosA=cosB then A=______.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2)If (1+tan x)(1+tan y)=2 then x+y=_____.\r
\n" ); document.write( "\n" ); document.write( "3)If tanx+tan(60°+x)+tan(120°+x)=3 then x=______.\r
\n" ); document.write( "\n" ); document.write( "4)1+ sinx +sin^2x..........=4+2√3,0\n" ); document.write( "\n" ); document.write( "5)The values if x in (-Π,Π) which satisfy the equation 8^(1+|cos x|+|cos^2x|+|cos^3x|+........).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #606732 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "1)If sinA=sinB and cosA=cosB then A=B or else they differ by \"2pi\" or \"360%B0\"\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "Since the period of sine and cosine is \"2pi\" or 360°, the general solution is \r\n" );
document.write( "\"A=B%2B2pi%2An\" or A = B + 360°n, where n is any integer   \r\n" );
document.write( "\r\n" );
document.write( "2)If \r\n" );
document.write( "\"%281%2Btan%28x%29%5E%22%22%29%281%2Btan%28y%29%5E%22%22%29\"\"%22%22=%22%22\"\"2\" then \"x%2By\"\"%22%22=%22%22\"_____.\r\n" );
document.write( "\r\n" );
document.write( "FOIL out the left side:\r\n" );
document.write( "\"1+%2B+tan%28x%29+%2B+tan%28y%29+%2B+tan%28x%29tan%28y%29\"\"%22%22=%22%22\"\"2\"\r\n" );
document.write( "If we remember our identities and also notice that we are \r\n" );
document.write( "asked to find x+y, and notice that there are tangents in\r\n" );
document.write( "the problem and then we we think of the identity we \r\n" );
document.write( "have memorized for tan(x+y)\r\n" );
document.write( "\"tan%28x%2By%29\"\"%22%22=%22%22\"\"%28tan%28x%29%2Btan%28y%29%29%2F%281-tan%28x%29tan%28y%29%29\"\r\n" );
document.write( "We recognize some of the terms in our equation are like some\r\n" );
document.write( "of the terms in that identity so let's get tan(x)+tan(y) alone\r\n" );
document.write( "on the left side since that's the numerator of the right side\r\n" );
document.write( "of that identity:\r\n" );
document.write( "\"1+%2B+tan%28x%29+%2B+tan%28y%29+%2B+tan%28x%29tan%28y%29\"\"%22%22=%22%22\"\"2\"\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28x%29+%2B+tan%28y%29\"\"%22%22=%22%22\"\"1-tan%28x%29tan%28y%29\"\r\n" );
document.write( "\r\n" );
document.write( "Well what do you know! the right side is just the denominator \r\n" );
document.write( "of the right side of that identity: \r\n" );
document.write( "So we divide both sides by the right side:    \r\n" );
document.write( "\"%28tan%28x%29+%2B+tan%28y%29%29%2F%281-tan%28x%29tan%28y%29%29\"\"%22%22=%22%22\"\"%281+-+tan%28x%29tan%28y%29%29%2F%281-tan%28x%29tan%28y%29%29\" \r\n" );
document.write( "  \r\n" );
document.write( "The left side is the left side of that identity and the right side is 1. \r\n" );
document.write( "So we have\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28x%2By%29\"\"%22%22=%22%22\"\"1\"\r\n" );
document.write( "Since the period of the tangent is \"pi\" or 180°\r\n" );
document.write( "x+y = \"pi%2F4%2Bpi%2An\" or 45°+180°n, where n is any integer, positive,\r\n" );
document.write( "negative, or zero. \r\n" );
document.write( "\r\n" );
document.write( "Limit: 2 problems\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );