Question

Solve for x :Cos(pi/6 +x)=1/2

Answer 1

`\cos\left( (\pi )/(6) + x \right)=\cfrac{1}{2}\implies \cos^(-1)\left[ \cos\left( (\pi )/(6) + x \right) \right]=\cos^(-1)\left( \cfrac{1}{2} \right) \\\\\\ \cfrac{\pi }{6}+x=\cos^(-1)\left( \cfrac{1}{2} \right)\implies \cfrac{\pi }{6}+x=\cfrac{\pi }{3}\implies x=\cfrac{\pi }{3}-\cfrac{\pi }{6}\implies x=\cfrac{\pi }{6}`