CUET Preparation Today
Find the value of $\frac{cos30°-sin30°}{sin60°+cos60°}$. |
$2 +\sqrt{3}$ $2 -\sqrt{3}$ $1 +\sqrt{3}$ $1 -\sqrt{3}$ |
$2 -\sqrt{3}$ |
$\frac{cos30°-sin30°}{sin60°+cos60°}$ = \(\frac{√3/2 - 1/2 }{√3/2 + 1/2}\) = \(\frac{√3-1 }{√3+1}\) 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 |
