Question

Solve for theta please!

Answer 1

`\bf mg sin(\theta )=\mu mg cos(\theta )\implies \cfrac{~~\begin{matrix} mg \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ sin(\theta )}{~~\begin{matrix} mg \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ cos(\theta )}=\mu\implies tan(\theta )=\mu \\\\\\ tan^(-1)\left[ tan(\theta ) \right]=tan^(-1)(\mu)\implies \theta=tan^(-1)(\mu)`