document.write( "Question 768965: here is the equation
\n" ); document.write( " 7^2 + 24^2 = c^2\r
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\n" ); document.write( "Sin = Opposite/hypotenuse
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\n" ); document.write( "Tangent = opposite /adjacent
\n" ); document.write( "cotangent = adjacent/opposite
\n" ); document.write( "secant = hypotenuse/adjacent
\n" ); document.write( "cosecant = hypotenuse /opposite.\r
\n" ); document.write( "\n" ); document.write( "thank you \n" ); document.write( "
Algebra.Com's Answer #468592 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "7² + 24² = c²  compare that equation to the Pythagorean theorem:\r\n" );
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document.write( "a²  + b² = c²\r\n" );
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document.write( "So a = 7, b = 24, \r\n" );
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document.write( "c² = 7² + 24² = 49 + 576 = 625\r\n" );
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document.write( "c = √625 \r\n" );
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document.write( "c = 25\r\n" );
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document.write( "That suggests this right triangle:\r\n" );
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document.write( "Capital letters A.B, and C indicate the three angles, \r\n" );
document.write( "Small letters a,b, and c represent the three sides \r\n" );
document.write( "opposite the corresponding angles.\r\n" );
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document.write( "The side \"a\" is the side opposite (across the triangle) from angle \"A\"\r\n" );
document.write( "The side \"b\" is the side opposite (across the triangle) from angle \"B\"\r\n" );
document.write( "The side \"c\" is the side opposite (across the triangle) from angle \"C\"\r\n" );
document.write( "The angle \"C\" is normally chosen as the 90° angle in a right triangle.\r\n" );
document.write( "The longest side \"c\", which is opposite the right angle C is called the\r\n" );
document.write( "\"hypotenuse\"\r\n" );
document.write( "The side \"a\" is the side adjacent (next to) the acute angle B\r\n" );
document.write( "The side \"b\" is the side adjacent (next to) the acute angle A\r\n" );
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document.write( "As the other tutor mentioned, you didn't tell which angle to find the\r\n" );
document.write( "trigonometric ratios of, so I'll do both.  The abbreviations for the\r\n" );
document.write( "six trig ratios are\r\n" );
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document.write( "sine = sin( )\r\n" );
document.write( "cosine = cos( )\r\n" );
document.write( "tangent tan( )\r\n" );
document.write( "cotangent = cot( )\r\n" );
document.write( "secant = sec( )\r\n" );
document.write( "cosecant = csc( )\r\n" );
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document.write( "and you must always put the angle in parentheses to indicate\r\n" );
document.write( "which angle you are talking about.\r\n" );
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document.write( "If you are talking about acute angle A then\r\n" );
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document.write( "sin(A) = \"%28side_opposite_angle_A%29%2Fhypotenuse\" = \"a%2Fc\" = \"7%2F25\"\r\n" );
document.write( "cos(A) = \"%28side_adjacent_angle_A%29%2Fhypotenuse\" = \"b%2Fc\" = \"24%2F25\"\r\n" );
document.write( "tan(A) = \"%28side_opposite_angle_A%29%2Fside_adjacent_angle_A\" = \"a%2Fb\" = \"7%2F24\"\r\n" );
document.write( "cot(A) = \"%28side_adjacent_angle_A%29%2Fside_opposite_angle_A\" = \"b%2Fa\" = \"24%2F7\"\r\n" );
document.write( "sec(A) = \"hypotenuse%2F%28side_adjacent_angle_A%29\" = \"c%2Fb\" = \"25%2F24\"\r\n" );
document.write( "csc(A) = \"hypotenuse%2F%28side_opposite_angle_A%29\" = \"c%2Fa\" = \"25%2F7\"\r\n" );
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document.write( "If you are talking about acute angle B then\r\n" );
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document.write( "sin(B) = \"%28side_opposite_angle_B%29%2Fhypotenuse\" = \"b%2Fc\" = \"24%2F25\"\r\n" );
document.write( "cos(B) = \"%28side_adjacent_angle_B%29%2Fhypotenuse\" = \"a%2Fc\" = \"7%2F25\"\r\n" );
document.write( "tan(A) = \"%28side_opposite_angle_B%29%2Fside_adjacent_angle_B\" = \"b%2Fa\" = \"24%2F7\"\r\n" );
document.write( "cot(B) = \"%28side_adjacent_angle_B%29%2Fside_opposite_angle_B\" = \"a%2Fb\" = \"7%2F24\"\r\n" );
document.write( "sec(B) = \"hypotenuse%2F%28side_adjacent_angle_B%29\" = \"c%2Fa\" = \"25%2F7\"\r\n" );
document.write( "csc(B) = \"hypotenuse%2F%28side_opposite_angle_B%29\" = \"c%2Fb\" = \"25%2F24\"\r\n" );
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document.write( "Notice the Cofunction identities: \r\n" );
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document.write( "sin(A)=cos(B), cos(A)=sin(B), tan(A)=cot(B), \r\n" );
document.write( "cot(A)=tan(B), sec(A)=csc(B), csc(A)=sec(B)\r\n" );
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document.write( "Notice the Reciprocal identities:\r\n" );
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document.write( "\"sin%28A%29=1%2Fcsc%28A%29\", \"cos%28A%29=1%2Fsec%28A%29\", \"tan%28A%29=1%2Fcot%28A%29\", \"cot%28A%29=1%2Ftan%28A%29\", \"sec%28A%29=1%2Fcos%28A%29\", \"csc%28A%29=1%2Fsin%28A%29\"\r\n" );
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document.write( "\"sin%28B%29=1%2Fcsc%28B%29\", \"cos%28B%29=1%2Fsec%28B%29\", \"tan%28B%29=1%2Fcot%28B%29\", \"cot%28B%29=1%2Ftan%28B%29\", \"sec%28B%29=1%2Fcos%28B%29\", \"csc%28B%29=1%2Fsin%28B%29\" \r\n" );
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document.write( "Edwin
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