Question

im struggling to solve this plz help me ​

Answer 1

       

$\mathfrak{Hey\ mate!!!}$

$\cos 60\textdegree=\frac{1}{2} \\ \\ \sec 30\textdegree=\frac{2}{\sqrt{3}} \\ \\ \tan 45\textdegree=1$

$\Rightarrow\ \boxed{\frac{5\cos^2 60\textdegree+4\sec^230\textdegree-\tan^245\textdegree}{\sin^230\textdegree+\cos^230\textdegree}} \\ \\ \\ \Rightarrow\ \boxed{\frac{5(\frac{1}{2})^2+4(\frac{2}{\sqrt{3}})^2-1^2}{1}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{\sin^2\theta+\cos^2\theta=1} \\ \\ \\ \Rightarrow\ \boxed{5 \times \frac{1}{4}+4 \times \frac{4}{3}-1} \\ \\ \\ \Rightarrow\ \boxed{\frac{5}{4}+\frac{16}{3}-1} \\ \\ \\ \Rightarrow\ \boxed{\frac{15}{12}+\frac{64}{12}-\frac{12}{12}}$

$\Rightarrow\ \boxed{\frac{15+64-12}{12}} \\ \\ \\ \Rightarrow\ \boxed{\bold{\frac{67}{12}}}$

$\sf{Hope this helps. Plz ask me if you have any doubt on my answer. }$

$Thank you. :-))$

$\mathfrak{\#adithyasajeevan}$