Math Problem Solver

$$θ \tan{\left(2 \right)} = \frac{\sqrt{2} \tan{\left(2 \right)}}{4 \cos{\left(\frac{\pi}{4} + 2 \right)}}$$

$$\begin{aligned}θ \left(- \sin{\left(2 \right)} + \cos{\left(2 \right)}\right) &= \frac{1}{2}\\θ &= \frac{1}{2 \left(- \sin{\left(2 \right)} + \cos{\left(2 \right)}\right)}\end{aligned}$$

By substituting this value into the expression, we find that: $$\begin{aligned}θ \tan{\left(2 \right)} &= \frac{\sqrt{2}}{4 \cos{\left(\frac{\pi}{4} + 2 \right)}} \tan{\left(2 \right)}\\&= \frac{\sqrt{2} \tan{\left(2 \right)}}{4 \cos{\left(\frac{\pi}{4} + 2 \right)}}\end{aligned}$$