# Thread: Expression in Terms of Theta

1. ## Expression in Terms of Theta

A crate weighing $w$ pounds sits on a ramp positioned at an angle of $\theta$ with the horizontal. The forces acting on this crate are modeled by the equation $Mw cos \theta = w sin \theta$ , where $M$ is the coefficient of friction. What is an expression for $M$ in terms of $\theta$ ?

a) $M = tan \theta$

b) $M = sec \theta$

c) $M = cot \theta$

d) $M = csc \theta$

2. Originally Posted by ThaBeretta
A crate weighing $w$ pounds sits on a ramp positioned at an angle of $\theta$ with the horizontal. The forces acting on this crate are modeled by the equation $Mw cos \theta = w sin \theta$ , where $M$ is the coefficient of friction. What is an expression for $M$ in terms of $\theta$ ?

a) $M = tan \theta$

b) $M = sec \theta$

c) $M = cot \theta$

d) $M = csc \theta$
Divide through by $wcos(\theta)$:

$M = \frac{wsin(x)}{wcos(x)}$

w will cancel out and what does sin(x)/cos(x) equal

3. $M = \frac{wsin(x)}{wcos(x)}$is equal to $tan \theta$ . Thus the answer is choice "a". Thanks again!