Solving trig equations

 $Solve\ \ \ 4\cos x+3=5\ \ \ for\ 0\le x<360\degree$  

•  $x\ =\ 60\degree,\ 120\degree$  

•  $x\ =\ 60\degree,\ 300\degree$  

•  $x\ =\ 30\degree,\ 150\degree$  

•  $x\ =\ 30\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

   $Solve\ \ \tan\ x\ +\ \sqrt{3}\ =\ 0\ \ for\ 0\ \le\ x\ <\ 360\degree$  

•  $30\degree,\ 210\degree$  

•  $150\degree,\ 330\degree$  

•  $60\degree,\ 240\degree$  

•  $120\degree,\ 300\degree$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 2\sin^2x\ -\ 1\ =\ 1\ for\ 0\ \le\ x\ <\ 2\pi$  

•  $0,\ \pi$  

•  $\frac{\pi}{2},\ \frac{3\pi}{2}$  

•  $0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}$  

• No solution

Tags

CCSS.HSF.TF.B.7

 $Solve\ 3\cot x\ +\ 5\ =\ 8\ \ for\ \ 0\ \le\ x\ <\ 2\pi$  

•  $\frac{\pi}{2},\ \frac{3\pi}{2}$  

•  $0,\ \pi$  

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

•  $\frac{\pi}{4},\ \frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ 3\sec^2x\ =\ 4\ \ for\ \ 0\ \le\ x\ <\ 2\pi$  

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

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

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

•  $0,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 6\ +\ 4\csc x\ =\ 14\ \ for\ \ 0\le\ x\ <\ 2\pi$  

•  $\frac{\pi}{3},\ \frac{2\pi}{3}$  

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

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

•  $\frac{\pi}{6},\ \frac{5\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 3\tan x\ +\ 2\ =\ 2\ \ for\ \ 0\ \le\ x\ <\ 2\pi$  

• No solution

•  $0,\ \pi$  

•  $\frac{\pi}{2},\ \frac{3\pi}{2}$  

•  $\frac{\pi}{4},\ \frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 3\sin x\ +\ 4\ =\ 6\ \ for\ \ 0\ \le\ x\ <\ 360\degree.$ Round to the nearest 10th of a degree.

•  $41.8\degree,\ 138.2\degree$  

•  $48.1\degree,\ 131.9\degree$  

•  $221.8\degree,\ 318.2\degree$  

•  $228.1\degree,\ 311.9\degree$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ 2\sin^2x\ +\ \sin x\ -\ 1\ =\ 0\ \ for\ 0\ \le\ x\ <\ 360$  

•  $30\degree,\ 90\degree,\ 150\degree$  

•  $90\degree,\ 210\degree,\ 330\degree$  

•  $30\degree,\ 150\degree,\ 270\degree$  

•  $210\degree,\ 270\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \cos x\ \tan x\ +\ \cos x\ =\ 0\ \ for\ 0\ \le\ x\ <\ 2\pi$  

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

•  $0,\ \frac{3\pi}{4},\ \pi,\ \frac{7\pi}{4}$  

•  $\frac{\pi}{2},\ \frac{3\pi}{4},\ \frac{3\pi}{2},\ \frac{7\pi}{4}$  

•  $0,\ \frac{\pi}{4},\ \pi,\ \frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.B.7