Question

7. Evaluate: (4 / Cot² 30°) + (1 / sin² 60° ) - cos² 45°.​

Answer 1

Answer:

Answer by topper girl .........................

Answer 2

Answer:

$\frac{4}{ \cos ^{2} 30°} + \frac{1}{sin^{2}60°} - cos ^{2} 45°$

$\frac{4}{ \frac{ (\sqrt{3} }{2})^{2} } + \frac{1}{ \frac{( \sqrt{3} }{2})^{2} } - ( \frac{1}{ \sqrt{2}) ^{2} }$

$\frac{4}{ \frac{3}{2} } + \frac{1}{ \frac{3}{4} } - \frac{1}{2}$

$\frac{4}{3} \times 2 + \frac{1}{3} \times 4 - \frac{1}{2}$

$\frac{8}{3} + \frac{4}{3} - \frac{1}{2}$

$\frac{16 + 8 - 3}{6}$

$\frac{21}{6} = \frac{7}{3}$

the value is 2.33