2 tan2 45° + cos2 30° - sin2 60° యొక్క విలువ ఎంత?

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Navik GD 26 April 2025 Memory-Based Paper (Section I + II)
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Answer (Detailed Solution Below)

Option 2 : 2
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ఇచ్చిన దత్తాంశం:

మనం 2 tan2 45° + cos2 30° - sin2 60° ని మూల్యాంకనం చేయాలి

ఉపయోగించిన సూత్రం:

tan45° = 1

Cos30° = √3/2

Sin60° = √3/2

సాధన:

2 tan2 45° + cos2 30° - sin2 60°

⇒ 2 × 12 + (√3/2)2 – (√3/2)2

⇒ 2 + 3/4 – 3/4

⇒ 2

∴ 2 tan2 45° + cos2 30° - sin2 60° విలువ 2.

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