Question

Solve the trigonometric equation 2 cos 2x = √3.​

Answer 1

Answer: $\boxed{\tt x = n\pi \pm \dfrac{\pi}{12}}$

Step-by-step explanation:

$\tt 2\cos 2x = \sqrt{3} \\ \\ \implies \cos 2x = \dfrac{\sqrt{3}}{2} \\ \\ \implies \cos 2x = \cos \dfrac{\tt \pi}{6}  \\ \\ \implies 2x = 2n\pi \pm \dfrac{\pi}{6} \\ \\ \implies x = n\pi \pm \dfrac{\pi}{12}$

Hope this helps.

Answer 2

Step-by-step explanation:

2cos 2x=√3.

cos 2x=√3÷2

but cos 30=√3÷2

therefore, cos 2x=cos 30

cos will get cancelled,

2x=30

x=30÷2

x=15