Question

7cos²A - 3sin²A = 4 , find the value of cotA​

Answer 1

Answer:

Here is your answer !!

7 sin²A + 3 cos²A = 4

=> 3 sin²A + 3 cos²A + 4 sin²A = 4

=> 3 ( sin²A + cos²A ) + 4 sin²A = 4

=> 3 + 4 sin²A = 4

=> 4 sin²A = 1

=> sin²A = 1/4

=> sin A = 1/2

=> sin A = sin 30°

=> A = 30° .

So , tan A = tan 30° = 1/√3 ........... [Proved]

Hope it helps !!

Explanation:

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