Question

$\sf \: Evaluate :$

$\frac{ \: 5 \cos(60 {°}^{2} ) + 4 \: sec \sec(30) {°}^{2} - \tan(45) {°}^{2}}{ \sin(30){°}^{2} + \cos(30){°}^{2} }$
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Answer 1

$\frac{5cos²60° + 4sec²30° -tan²45°}{sin²30° + cos²30°}$

$⇒\frac{ 5× (1/2)² + 4 ×(2/√3)² - (1)²}{(1/2)² + (√3/2)²}$

$⇒\frac{5x1/4 + 4× 4/3 -1}{1/4 + 3/4}$

$⇒\frac{5/4 + 16/3-1}{1+ 3/4}$

$⇒\frac{15 + 64 - 12/12 { {(lcm)}}}{4/4}$

$⇒55/12 = 21/4$

${\textbf{\textsf{{\color{cyan}{Answer}}}}} = 55/12$

Answer 2

Kindly Refer Attachment ! xDxD Love Uh <3 :(