Top answers

How do you resolve forces on an object on an angled plane?

The forces should be resolved in two directions: parallel to the plane, and perpendicular to the plane. Friction will act parallel to the plane (up the slope), and the normal force wil act perpendicular to t...
BG
Answered by Benjamin G. • Maths tutor
7168 Views

Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 tan(60◦) = √3 6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192
AG
Answered by Alistair G. • Maths tutor
4412 Views

Find all solutions to the equation 8sin^2(theta) - 4 = 0 in the interval 2(pi) < (theta) < 4(pi)

First substiute sin(theta) = x (This step is not nesecessary but often people find quadratics easier to solve in variables that they usually use). Then due to the fact that the &quot;b&quot; coefficient in t...
NB
Answered by Nicholas B. • Maths tutor
7018 Views

What is the best way to structure my philosophy essays?

The first thing to do is to think in points; 'what points am I going to bring up for this specific question?' These points can be remembered/structured by specific scholars (e.g. Swinburne), or by specific a...
GC
2424 Views

How can I find the derivative of y = tan(x)?

Let's first recall the definition of tan(x) = sin(x)/cos(x). Hence, y' = d/dx( sin(x)/cos(x) ). Recall quotient rule for differentiation: ( f(x)/g(x) )' = ( f '(x)^2*g(x) - f(x)*g'(x)^2 ) / g(x)^2 and that d...
RB
Answered by Riccardo B. • Maths tutor
6131 Views