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5sin2 30degree+cos2 45degree-4tan230degree/ 2sin 30degree + cos 30degree +tan 45degreeplease answer to this question​

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Answer:

Step-by-step explanation:

\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}


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