determine-the-value-of-theta-in-the-given-trigonometric-equation-on-the-interval

Question

Determine the value of θ	heta in the given trigonometric equation on the interval 0θπ0\lt{	heta}\lt\pi: cos⁡(2θ)=12\cos\left(2	hetaight)=\frac12

Accepted Answer

{π6,5π6}\left\lbrace\frac{\pi}{6},\frac{5\pi}{6}\right\rbrace

Answer

{π3,2π3}\left\lbrace\frac{\pi}{3},\frac{2\pi}{3}\right\rbrace

Answer

{0,π3}\left\lbrace0,\frac{\pi}{3}\right\rbrace

Answer

{0,5π6}\left\lbrace0,\frac{5\pi}{6}\right\rbrace

Determine the value of θ\(\theta\) in the given trigonometric equation on the interval 0<θ<π0\(\lt{\theta}\[\lt\]\pi\): cos(2θ)=12\(\cos\[\left\)(2\(\theta\]\right\))=\(\frac\)12