document.write( "Question 100848: Use appropriate identities to find the exact values of the following.
\n" ); document.write( "a. sec(75degrees)
\n" ); document.write( " so far I have sec(45deg+30deg)? then stuck. \r
\n" ); document.write( "\n" ); document.write( "b. sin(7pi/12)
\n" ); document.write( " I think this converts down to sin(2pi/3)? then stuck.
\n" ); document.write( "

Algebra.Com's Answer #73425 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Use appropriate identities to find the exact values of the following.
\n" ); document.write( "a. sec(75degrees)
\n" ); document.write( " so far I have sec(45deg+30deg)? then stuck.
\n" ); document.write( "= 1/[cos(45+30)]
\n" ); document.write( "= 1/[cos45*cos30-sin45sin30]
\n" ); document.write( "= 1/[1/sqrt2 * sqrt3/2 - 1/sqrt2 *1/2]
\n" ); document.write( "= 1/[sqrt3/2sqrt2 - 1/2sqrt2]
\n" ); document.write( "= 2sqrt2/[sqrt3 - 1]
\n" ); document.write( "= [2sqrt2(sqrt3+1)]/[3-1]
\n" ); document.write( "= [2sqrt6 +2sqrt2]/2
\n" ); document.write( "= sqrt6 + sqrt2
\n" ); document.write( "=========================\r
\n" ); document.write( "\n" ); document.write( "b. sin(7pi/12)= sin(pi/3 + pi/4)\r
\n" ); document.write( "\n" ); document.write( "= sin(pi/3)cos(pi/4)+cos(pi/3)sin(pi/4)
\n" ); document.write( "= (sqrt3)/2 * (sqrt2)/2 + (1/2)(sqrt2)/2
\n" ); document.write( "= (sqrt6)/4 + (sqrt2)/4
\n" ); document.write( "= [sqrt6 + sqrt2]/4
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );