Tan^2 60°-sin^2 30°/tan^2 45°+cos^2 30°
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We know,
- tan60° = √3
- tan45° = 1
- sin30° = 1/2
- cos30° = √3/2
Therefore value of (tan²60° - sin²30°)/(tan²45° + cos²30°) :-
= [(√3)² - (1/2)²]/[(1)² + (√3/2)²]
= (3 - 1/4)/(1 + 3/4)
= [(12 - 1)/4]/[(4 + 3)/4]
= (11/4)/(7/4)
= 11/4 × 4/7
= 11/7 Final answer
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