If (21 cos A + 3 sin A) / (3 cos A + 4 sin A) = 2, then find the value of cot A.
2023
If (21 cos A + 3 sin A) / (3 cos A + 4 sin A) = 2, then find the value of cot A.
- A.
9/11
- B.
11/9
- C.
1/3
- D.
11/10
Attempted by 1 students.
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Correct answer: C
From (21 cos A + 3 sin A)/(3 cos A + 4 sin A) = 2, we get 21 cos A + 3 sin A = 6 cos A + 8 sin A. Hence 15 cos A = 5 sin A, so tan A = 3 and cot A = 1/3.