Solving Trigonometric Equations

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $\frac{\sqrt{2}}{2}\csc x-1=0$  

•  $\frac{\pi}{4},\ \frac{3\pi}{4}$  

•  $\frac{\pi}{6},\ \frac{5\pi}{6}$  

•  $\frac{\pi}{4},\ \frac{3\pi}{4},\ \frac{5\pi}{4},\ \frac{7\pi}{4}$  

•  $\frac{5\pi}{4},\ \frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $11\sin x+5=\sin x$  

•  $\frac{\pi}{3},\frac{2\pi}{3}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $100\cos^2x-25=0$  

•  $\frac{\pi}{3},\frac{2\pi}{3}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Which of the following are the correct solutions for the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ ? 

CHOOSE ALL THAT APPLY

 $\left(2\sin^2x-1\right)\left(3\tan^2x-1\right)=0$  

•  $\frac{\pi}{4},\frac{3\pi}{4}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  
  

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{5\pi}{4},\frac{7\pi}{4}$  
  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $9\tan^3x=3\tan x$  

•  $\frac{\pi}{3},\frac{2\pi}{3}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Which of the following are the correct solutions for the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ ? 

CHOOSE ALL THAT APPLY

 $14\sin^2x+21\sin x+7=0$  

•  $\frac{3\pi}{2}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  
  

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{\pi}{2}$  
  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $\cos x+\sin x\tan x=2$  

•  $\frac{2\pi}{3},\frac{5\pi}{3}$  

•  $\frac{2\pi}{3},\frac{4\pi}{3}$  

•  $\frac{\pi}{3},\frac{5\pi}{3}$  

•  $\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $50\sin^2x=50+25\cos x$  

•  $\frac{\pi}{2},\frac{2\pi}{3}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{4\pi}{3},\frac{3\pi}{2}$  

•  $\frac{\pi}{2},\frac{2\pi}{3},\frac{4\pi}{3},\frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ .

 $2\sin3x+\sqrt{3}=0$  

•  $\frac{\pi}{2},\frac{2\pi}{3}$  

•  $\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\frac{4\pi}{9},\frac{5\pi}{9}$  

•  $\frac{\pi}{6},\frac{4\pi}{9},\frac{2\pi}{9},\frac{5\pi}{9}$  

Tags

CCSS.HSF.TF.B.7

Which of the following are the correct solutions for the trigonometric equation in the interval  $\left(0,\ 2\pi\right]$ ? 

CHOOSE ALL THAT APPLY

 $\cos x=0$  

•  $\frac{3\pi}{2}$  

•   $\pi$  
  

•  $2\pi$  

•  $\frac{\pi}{2}$  
  

Tags

CCSS.HSF.TF.B.7