To solve the expression given, we will first calculate the trigonometric values involved.
Now, substitute these values into the expression:
4sin(30°) + 2cos(30°) - 6cos(60°) - tan(60°)= 4(1/2) + 2(√3/2) - 6(1/2) - √3= 2 + √3 - 3 - √3= -1
Therefore, the value of the expression 4sin(30°) + 2cos(30°) - 6cos(60°) - tan(60°) is -1
To solve the expression given, we will first calculate the trigonometric values involved.
sin(30°) = 1/2cos(30°) = √3/2cos(60°) = 1/2tan(60°) = √3Now, substitute these values into the expression:
4sin(30°) + 2cos(30°) - 6cos(60°) - tan(60°)
= 4(1/2) + 2(√3/2) - 6(1/2) - √3
= 2 + √3 - 3 - √3
= -1
Therefore, the value of the expression 4sin(30°) + 2cos(30°) - 6cos(60°) - tan(60°) is -1