Solve $\sin^2\left(x\right)-6\cos^2\left(x\right)=1$sin2(x)−6cos2(x)=1 over the interval $[$[$0$0, $2\pi$2π$)$).
Solve $36\left(1-\cos x\right)\left(1+\cos x\right)=27$36(1−cosx)(1+cosx)=27 over the interval $[$[$0$0, $2\pi$2π$)$).
Solve $4\cos x-2=2\sqrt{3}-\sqrt{3}\sec x$4cosx−2=2√3−√3secx over the interval $[$[$0$0, $2\pi$2π$)$).
Solve $\sec^2\left(x\right)=2\tan x$sec2(x)=2tanx over the interval $[$[$0$0, $2\pi$2π$)$).