The figure above shows the triangle ${ABC}$, where $∡$ ${ACB=\theta }$. The points \({A}\

Question

The figure above shows the triangle ${ABC}$, where $∡$ ${ACB=\theta }$. The points ${A}$ and ${B}$ have respective coordinates ${\left( 0,1 \right)}$ and ${\left( 0,3 \right)}$, while the variable point ${C\left( x,0 \right)}$ lies on the positive ${x}$-axis. Show that as ${C}$ varies, the maximum value of ${\theta }$ is ${\frac{\pi }{6}}$.

Accepted Answer

$\theta = \frac{\pi}{6}$

Techniques and Applications Of Differentiation Q2

Techniques and Applications Of Differentiation Q2

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