Hi There,

I was hoping someone could show me the working to the below.

I feel i'm missing something quite simple.

vest4R
Aug 21, 2018

#1**+3 **

Hi Vest4R,

\(3Tcos\theta - 1.5Tsin\theta = 0\\ T(3cos\theta - 1.5sin\theta )= 0\\ T=0\;\;or\;\; 3cos\theta - 1.5sin\theta=0\\ T=0\;\;or\;\; 3cos\theta = 1.5sin\theta\\ T=0\;\;or\;\; \frac{3cos\theta}{1.5cos\theta} = \frac{1.5sin\theta}{1.5cos\theta }\\ T=0\;\;or\;\; 2 = tan\theta\\ T=0\;\;or\;\; tan\theta=2\\ T=0\;\;or\;\; \theta=atan(2)\qquad\;\;NOTE: \theta\text{ must be in the first or third quad}\\ T=0\;\;or\;\; \theta=(63.43+180n)^\circ \qquad where \qquad n\in Z \)

Melody
Aug 21, 2018