document.write( "Question 1162957: Please help me solve this equation: arcsin2x+arcsinx=pi/2 \n" ); document.write( "

Algebra.Com's Answer #786892 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
arcsin(2x)+arcsin(x)=π/2
\n" ); document.write( "

\r\n" );
document.write( "Two angles that have sum π/2 are complementary, thus the sine of one is the\r\n" );
document.write( "cosine of the other and vice-versa.  So a right triangle that contains such\r\n" );
document.write( "a pair of complementary angles would be:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The angle with the red arc is arcsin(x) and the angle with the blue arc is\r\n" );
document.write( "arcsin(2x).\r\n" );
document.write( "\r\n" );
document.write( "By the Pythagorean theorem,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the triangle can be placed in any quadrant, we use ±.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );