First, you need to determine the resultant force and its angle. This one is real easy, since you only have one (x) and one (y) component. X = 300 and Y = 480
<span>1) sqrt (300^2 + 480^2) = ? (round your answer) </span>
<span>2) tanθ = y/x Solving for θ: θ = tan^-1(y/x): θ = ? (round your answer) </span>
<span>Now, you should have a resultant force value and its angle, from zero, in the first quadrant and between the Y and N axes. Draw yourself a diagram showing all of the axes, the resultant and the angles. You're going to have to do some very easy math to determine the angles between the Y and N axes and the resultant. Call these new angles α and β. α is the angle between N and the resultant and β is the angle between T and the resultant. Hint: one of them is 28 deg. </span>
<span>Once you've gotten those figured, the Y and N axes become your new axis, ignore the X and Y. Find the X and Y components of the resultant (again). ? * cos(α) = 500 and ? * sin(β) = 266 (round your answers)</span>
Answer:
69
Step-by-step explanation:
All the given arcs cover the entire circle circumference, so their measures add up to a full 360.
(2x - 16) + (x + 40) + x + 60 = 360
4x + 84 = 360
4x = 276
x = 69
Answer:
sin²(α)
Step-by-step explanation:
sin⁴(α) − cos⁴(α) + cos²(α)
sin⁴(α) − cos²(α) (cos²(α) − 1)
sin⁴(α) − cos²(α) (-sin²(α))
sin⁴(α) + sin²(α) cos²(α)
sin²(α) (sin²(α) + cos²(α))
sin²(α) (1)
sin²(α)