Trig Identities and Equations Review

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = 5π / 6,  7π / 6
• θ = 7π / 6,  11π / 6

Tags

CCSS.HSF.TF.B.7

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-2+\cot\theta=-3$  

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

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

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

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

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $2=-4-3\csc\theta$  

•  $\theta=\frac{2\pi}{3},\frac{7\pi}{6}$  

•  $\theta=\frac{\pi}{3}$  

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

•  $\theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $0=-\sqrt{3}\sin\theta-2\sin^2\theta$  

•  $\theta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}$  

•  $\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}$  

•  $\theta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\theta=0,\pi,\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $0=-3\cot\theta+2\sqrt{3}\cot\theta\sin\theta$  

•  $\theta=\frac{3\pi}{2}$  

•  $\theta=0,\frac{5\pi}{6},\pi,\frac{11\pi}{6}$  

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

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

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-\sin^2\theta=\sin\theta+1-3\sin^2\theta$  

•  $\theta=\frac{\pi}{2},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{2\pi}{3},\frac{7\pi}{6}$  

•  $\theta=0,\frac{2\pi}{3},\frac{4\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

sin x =

• cos x

• 1/cosx

• 1/secx

• 1/cscx

Tags

CCSS.HSF.TF.A.4

cos x =

• sin x

• sin²x-1

• 1/sec x

• 1/csc x

Tags

CCSS.HSF.TF.C.8