Honors Pre-Calculus 5.1-5.2 Quiz

Simplify

• $\sin^2\left(x\right)$

• $\cos^2\left(x\right)$

• $\cos^3\left(x\right)$

• $\sin^3\left(x\right)$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• cosx

• sinx

• 1

• tanx

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Simplify

• $\cos^2x$

• $\sec^2x$

• 
  

  $\tan^2x$
  

• $\cot^2x$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify:  $\sin^3x+\sin x\cdot\cos^2x$  

• cos x

• sin x

• tan x

• csc x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify:  $\frac{1-\cos^2x}{\sin x}$  

• csc x

• sec x

• cos x

• sin x

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.TF.C.8

 $\cot^2x-\csc^2x=$  

•  $\sec^2x$  

•  $\tan^2x$  

•  $1$  

•  $-1$  

Simplify  $\sin x\sec x$  

•  $\csc x$  

•  $\tan x$  

•  $\cot x$  

•  $\cos x$  

Simplify  $\cos^2x\left(\sec^2x-1\right)$  

•  $\sin^2x$  

•  $\cos^2x$  

•  $\tan^2x$  

•  $\csc^2x$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Solve $2\sin x+1=0$  over the interval  $\left[0,\ 2\pi\right]$  

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{\pi}{3},\frac{2\pi}{3}$  

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

Solve sinθ = ½ over the interval [0, 2π)

• θ = π / 6, 7π / 6

• θ = π / 6, 5π / 6

• θ = 5π / 6, 7π / 6

• θ = 7π / 6, 11π / 6