Solving Trigonometric Equations Basic

Given x : [0, 2π],  Solve the following equation:     $\cos\ x\ =\frac{1}{2}$  

•  $x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{5\pi}{3}$  

•  $x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{2\pi}{3}$  

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

•  $x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $\cos\ x\ =0$  

•  $x\ =\ \frac{\pi}{2}\ \ ,\ \frac{3\pi}{2}$  

•  $x\ =\ 0\ ,\ \pi\ ,\ 2\pi$  

•  $x\ =\pi\ ,\ \ 2\pi$  

•  $x\ =\ \frac{\pi}{2}\ \$  

•  $x\ =\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $\sin\ x\ =0$  

•  $x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2}$  

•  $x\ =\ 0\ ,\ \pi\ ,\ 2\pi$  

•  $x\ =\pi\ ,\ \ 2\pi$  

•  $x\ =\ \frac{\pi}{2}\ \$  

•  $x\ =\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $\sin\ x\ =-\frac{\sqrt{3}}{2}$  

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

•  $x\ =\ \frac{\pi}{3}\ ,\ \ \frac{2\pi}{3}$  

•  $x\ =\ \frac{4\pi}{3}\ ,\ \ \frac{\pi}{3}$  

•  $x\ =\ \frac{2\pi}{3}\ \ ,\ \frac{5\pi}{3}$  

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

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $\sin\ x\ =-1$  

•  $x\ =\ \frac{\pi}{2}\ \ or\ \ \frac{3\pi}{2}$  

•  $x\ =\ 0\ ,\ \pi\ ,\ 2\pi$  

•  $x\ =\pi\ ,\ \ 2\pi$  

•  $x\ =\ \frac{\pi}{2}\ \$  

•  $x\ =\ \frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $2\sin\ x-\sqrt{3}=0$  

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

•  $x\ =\ \frac{\pi}{3}\ ,\ \ \frac{2\pi}{3}$  

•  $x\ =\ \frac{4\pi}{3}\ ,\ \ \frac{\pi}{3}$  

•  $x\ =\ \frac{\pi}{3}\ ,\ \ \frac{5\pi}{3}$  

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

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $12\cos x+6√3=0$  

•  $x\ =\ \frac{5\pi}{6}\ \ ,\ \ \ \frac{11\pi}{6}$  

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

•  $x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{\pi}{6}$  

•  $x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6}$  

•  $x\ =\ \frac{\pi}{6}\ \ ,\ \ \ \frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $8\sin x+4=0$  

•  $x\ =\ \frac{5\pi}{6}\ \ ,\ \ \ \frac{11\pi}{6}$  

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

•  $x\ =\ \frac{11\pi}{6}\ \ ,\ \ \ \frac{\pi}{6}$  

•  $x\ =\ \frac{7\pi}{6}\ \ ,\ \ \ \frac{5\pi}{6}$  

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

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $-10\cos x+6=1$  

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

•  $x\ =\ \frac{\pi}{3}\ ,\ \ \frac{2\pi}{3}$  

•  $x\ =\ \frac{4\pi}{3}\ ,\ \ \frac{\pi}{3}$  

•  $x\ =\ \frac{\pi}{3}\ \ ,\ \ \frac{5\pi}{3}$  

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

Tags

CCSS.HSF.TF.B.7

Given x : [0, 2π],  Solve the following equation:     $14\sin x+7\sqrt{2}=0$  

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

•  $x\ =\ \frac{\pi}{4}\ \ ,\ \ \ \frac{7\pi}{4}$  

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

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

•  $x\ =\ \frac{5\pi}{4}\ \ ,\ \ \ \frac{\pi}{4}$  

Tags

CCSS.HSF.TF.B.7