Solving Trigonometric Equations

Solve for x:  $5\cos x+\sqrt{2}=3\cos x$  

•  $\pi$  

•  $\frac{3\pi}{4}$  

• DNE

•  $\frac{4\pi}{3}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.TF.B.7

Select all possible answers to the equation  $4\sin^2u+8=11$  

•  $\frac{\pi}{3}$  

•  $2\pi$  

•  $\frac{\pi}{6}$  

•  $\frac{2\pi}{3}$  

•  $\frac{4\pi}{3}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7

 $\frac{\pi}{6}$  is a possible solution to the equation  $2\sin^2\alpha+3\sin\alpha-2=0$  

• True

• False

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

 $\cot^2\theta-3\csc\theta+3=0$  Which of the following is NOT a solution to the equation?

•  $\frac{\pi}{2}$  

•  $\frac{5\pi}{6}$  

•  $\frac{\pi}{6}$  

•  $\frac{11\pi}{6}$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

CCSS.HSF.TF.B.7

 $\cos x+2=\sin\left(\frac{x}{2}\right)$  How many real solutions for x are there?

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.TF.B.7

 $\sin2u+4\cos u=3\cos u$  What are the solutions for u?

•  $\pi,\ \frac{4\pi}{3}$  

•  $\frac{7\pi}{6},\ \frac{\pi}{2}$  

•  $\frac{\pi}{2},\ \frac{5\pi}{6}$  

•  $0,\ \frac{\pi}{4}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7