Question

find
1/2 sin² 60°- cos 30°​

Answer 1

Solution :-

→ 1/2 (sin²60°) - cos30°

→ 1/2 ( √3/2 )² - √3/2 (°.° sin60° = √3/2 = cos30°)

→ 1/2(√3)²/2² - √3/2

→ 1/2[ 3/4 ] - √3/2

→ 3/8 - √3/2

→ (3 - 6√3)/8

→ [3(1 - 2√3)]/8

.°. 1/2 sin²60° - cos30° = 3(1-2√3)/8

Answer 2

$\rm \frac{1}{2} { \sin}^{2} 60 - \cos30$

$\rm = \frac{1}{2} {( \frac{ \sqrt{3} }{2}) }^{2} - \frac{ \sqrt{3} }{2}$

$\rm = \frac{3}{8} - \frac{ \sqrt{3} }{2}$

$\rm = \frac{3 - 4 \sqrt{3} }{8}$