To simplify the expression, we start by substituting tg(alpha) = 3 into the expression:
3cos(alpha) - 4sin(alpha) / 2sin(alpha) - 5cos(alpha)
= 3cos(alpha) - 4sin(alpha) / 2sin(alpha) - 5cos(alpha)= 3(3) - 4(3) / 2(3) - 5(3) (Substitute tg(alpha) = 3)= 9 - 12 / 6 - 15= -3 / -9= 1/3
Therefore, the simplified expression is 1/3.
To simplify the expression, we start by substituting tg(alpha) = 3 into the expression:
3cos(alpha) - 4sin(alpha) / 2sin(alpha) - 5cos(alpha)
= 3cos(alpha) - 4sin(alpha) / 2sin(alpha) - 5cos(alpha)
= 3(3) - 4(3) / 2(3) - 5(3) (Substitute tg(alpha) = 3)
= 9 - 12 / 6 - 15
= -3 / -9
= 1/3
Therefore, the simplified expression is 1/3.