Find the value of (cos30°-sin30°)/(sin60°+cos60°).

$\frac{cos30°-sin30°}{sin60°+cos60°}$

= \(\frac{√3/2 - 1/2 }{√3/2 + 1/2}\)

= \(\frac{√3-1 }{√3+1}\)

Multiply and divide by ( √3-1 )

= \(\frac{√3-1 }{√3+1}\) × \(\frac{√3-1 }{√3-1}\)

= \(\frac{(√3-1)² }{3 -1}\)

= \(\frac{(3 + 1 - 2√3) }{2}\)

= 2 - √3