Question

cos^2 30 + 4sin^2 45 + 3cosec^2 60

Answer 1

Answer:

${ \cos }^{2} 30 \degree + 4{ \sin}^{2} 45 \degree + 3 { \cosec}^{2} 60 \degree \\ = {( \frac{ \sqrt{3} }{2} )}^{2} + 4 {( \frac{1}{ \sqrt{2} } })^{2} + 3 {( \frac{2}{ \sqrt{3} }) }^{2} \\ = \frac{3}{4} + 4 \times \frac{1}{2} + 3 \times \frac{4}{3} \\ = \frac{3}{4} + 2 + 4 \\ = \frac{3 + 8 + 16}{4} \\ = \frac{27}{4} \\ \\\red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$