solving a trigonometric identity

[laurendanielle3]

i know how to solve most idenities.. but this one on our past test is very tricky.. and no one in my class could figure it out.
here it is...

1-1/2sin2(theta)= sin(cubed)(theta)+soc(cubed)(theta) divided by sin(theta)+cos(theta)

 

[Deleted member 4993]

i know how to solve most idenities.. but this one on our past test is very tricky.. and no one in my class could figure it out.
here it is...

1-1/2sin2(theta)= sin(cubed)(theta)+soc(cubed)(theta) divided by sin(theta)+cos(theta)

Hint:

\(\displaystyle a^3 \, + \, b^3 \, = \, (a \, + \, b)\cdot (a^2 \, - \, a\cdot b \, + \, b^2)\)