document.write( "Question 287719: sin(0) = sqrt(2)/2 let theta be an acute angle of a right triangle. Find the values of the other 5 trigonometric functions of theta. \n" ); document.write( "
Algebra.Com's Answer #208592 by dabanfield(803)\"\" \"About 
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Let's use x instead of theta.\r
\n" ); document.write( "\n" ); document.write( "We have sin(x) = sqrt(2)/2\r
\n" ); document.write( "\n" ); document.write( "The right triangle formed by x is \"similar\" to one with side sqrt(2) and hypotenuse 2.\r
\n" ); document.write( "\n" ); document.write( "If the unknown side is y, by the Pythagorean Theorem we have:\r
\n" ); document.write( "\n" ); document.write( "y^2 + sqrt(2)^2 = 2^2
\n" ); document.write( "y^2 + 2 = 4
\n" ); document.write( "y^2 = 2
\n" ); document.write( "y = sqrt(2)\r
\n" ); document.write( "\n" ); document.write( "The triangle is isoceles.\r
\n" ); document.write( "\n" ); document.write( "Now we have the two sides = sqrt(2)) and the hypotenuse = 2, so we can calculate any of the trig functions of the angle. For example, the tangent is sqrt(2)/sqrt(2) = 1.\r
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