Question

2 tan² 45 + cos² 30°- sin2 60 = ?​

Answer 1

Answer:

2tan Square 45+cos Square 30°_sin2 60=?

বা2×1 square +cos square 30°-cos squad (90°_60°)

বা,2+cos square 30°_cos square 30°[tan45°=1]

ans: 2

Step-by-step explanation:

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Answer 2

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$2 \tan^{2} 45\degree + {cos}^{2}30 \degree - {sin}^{2}60$

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$\implies2 (\frac{1}{ \sqrt{2}})^{2}+ (\frac{\sqrt{3}}{2})^{2} - ( \frac{ \sqrt{3} }{2})^{2}$

$\implies \: 2 \frac{1}{2}+ \frac{3}{4} - \frac{3}{4}$

$\implies \: 1 + \frac{3}{4} - \frac{3}{4}$

$\implies \frac{4 + 3}{4} - \frac{3}{4}$

$\implies\frac{7}{4} - \frac{3}{4}$

$\implies \: \frac{4}{4}$

$\implies \: 1$

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