Question

we have to find the value of expression given above.​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Step-by-step explanation:

We have,

$\sf{\frac{4}{3}\tan^{2}(30°)+\sin^{2}(60°)-2\cos{2}(60°)+\frac{3}{4}\tan^{2}(60°)-2\tan^{2}(45°)}$

$\sf{=\frac{4}{3}\times{(\frac{1}{\sqrt{3}})^{2}}+(\frac{\sqrt{3}}{2})^{2}-2\times{(\frac{1}{2})^{2}}+\frac{3}{4}\times{(\sqrt{3})}^{2}-2\times{1}}$

$\sf{=(\frac{4}{3}\times{\frac{1}{3}})+(\frac{3}{4})-(2\times{\frac{1}{4}})+(\frac{3}{4}\times{3})-2}$

$\sf{=\frac{4}{9}+\frac{3}{4}-\frac{1}{2}+\frac{9}{4}-2}$

$\sf{=\frac{16+27-18+81-72}{36}}$

$\sf{=\frac{124-90}{36}}$

$\sf{=\frac{34}{36}}$

$\sf{=\boxed{\frac{17}{18}}}$

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