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7 sin^2@ + 3 cos^2@ = …

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7 sin^2@ + 3 cos^2@ = 4 , then prove tan@ = 1/√3
  • 2 answers

Khushboo Tiwari 5 years, 5 months ago

Nice ??

Sanket Arjun 5 years, 5 months ago

7 sin²A + 3 cos²A = 4=> 4 sin²A + 3 sin²A + 3 cos²A = 4 => 3 sin²A + 3 cos²A = 4 - 4 sin²A => 3( sin²A + cos²A ) = 4( 1 - sin²A ) => 3( 1 ) = 4( cos²A ) => 3 = 4 × cos²A = CosA=√3/2 => cosA=cos30° = > A=30°
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