Question

Evaluate 5 sin square 30 degree + cos square 45 degree + 4 tan square 60 degree / 2sin 30 degree cos 60 degree + tan 45 degree

Answer 1

Hope this helps you☺️

Answer 2

Answer:

$\text{The value of given expression is}\frac{55}{6}$

Step-by-step explanation:

We have to evaluate the given expression

$\frac{5sin^230^{\circ}+cos^245^{\circ}+4tan^{2}60^{\circ}}{2sin30^{\circ}cos60^{\circ}+tan45^{\circ}}$

⇒ $\frac{5(\frac{1}{2})^2+(\frac{1}{\sqrt2})^2+4(\sqrt3)^2}{(2\times \frac{1}{2}\times \frac{1}{2})+1}$

⇒ $\frac{\frac{5}{4}+\frac{1}{2}+12}{\frac{1}{2}+1}$

⇒ $\frac{\frac{55}{4}}{\frac{3}{2}}$

⇒$\frac{55}{6}$

$\text{hence the value of given expression is}\frac{55}{6}$