document.write( "Question 826527: Show that the equation sec x + sqrt3 cosec x = 4 can be written in the form
\n" );
document.write( "sin x + sqrt3 cos x = 2 sin 2x \n" );
document.write( "
Algebra.Com's Answer #498147 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Looking at what we have and where we want to end up,
\n" ); document.write( " \n" ); document.write( "On the left side we need to use the Distributive Property: \n" ); document.write( " \n" ); document.write( "The reciprocal Trig functions will cancel each other out (since their product is 1): \n" ); document.write( " \n" ); document.write( "If we use the Commutative Property on the second term, out left side is exactly what we wanted it to be: \n" ); document.write( " \n" ); document.write( "Now we need to fix up the right side (without changing the left side). As we pointed out earlier, sin(2x) = 2sin(x)cos(x). If we factor a 2 out of the left side we get: \n" ); document.write( " \n" ); document.write( "And we can now substitute in the sin(2x): \n" ); document.write( " |