If 3 cot A = 4, then find the value of (3 sin A - 4 cos A).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e.
3 cot A = 4
cot A = 4/3
So, in a right triangle:
Adjacent = 4, Opposite = 3
Hypotenuse = √(42 + 32) = 5
sin A = 3/5
cos A = 4/5
3 sin A − 4 cos A = 3 × 3/5 − 4 × 4/5 = 9/5 − 16/5 = −7/5
Therefore, the value is −7/5