Quiz #2: Solving Trigonometric Equations

Find all possible solutions. SELECT ALL THAT APPLY.

 $3\cos x-6\sqrt{3}=\cos x-5\sqrt{3}$  

•  $\frac{5π}{6}+2nπ$  

•  $\frac{11π}{6}+nπ$  

•  $\frac{11π}{6}+2nπ$  

•  $\frac{π}{6}+nπ$  

•  $\frac{π}{6}+2nπ$  
  

Tags

CCSS.HSF.TF.B.7

Find x on the interval [0, 2π).

 $\left(2\sin x+\sqrt{3}\right)\left(\sqrt{3}\tan x+1\right)=0$  

Tags

CCSS.HSF.TF.B.7

Find x on the interval [0, 2π).

 $4\sin^2x+4\cos x-5=0$ 
(Tip: Use the Pythagorean Identity  $\sin^2x+\cos^2x=1$ )

Tags

CCSS.HSF.TF.B.7

Find x on the interval [0, 2π).

 $\sin2x=\cos x$ 
(Tip: Use the formula  $\sin2x=2\sin x\cos x$ )

Tags

CCSS.HSF.TF.B.7

Find x on the interval [0, 2π).

 $2\sin^2x+5\sin x=-3$ 
(Tip: factor the quadratic equation or use the quadratic formula to solve for sin x)

Tags

CCSS.HSF.TF.B.7