7 sin square A + 3 cos square A = 4 then find the value of tangent a
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kritika430:
its not that what I asked still thanks
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7sin²A+3cos²A = 4
=> 4sin²A + (3sin²A+3cos²A)=4
=> 4sin²A + 3(sin²A+cos²A)=4
=> 4sin²A + 3 = 4
=> 4sin²A = 1
=> sin²A = 1/4
=> sin²A = √1/4
=> sinA = 1/2
=> sinA = sin30°
=> A = 30°
Therefore ,
tanA = tan 30° = 1/√3
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