Precalculus

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• secθ
• cos²θ
• sin²θ
• sin²θ/cos²θ

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Verify the following.
tanB (cotB + tanB) = sec²B

• 1+ tan²B
• sec²B
• cot²B
• tan²B

Tags

CCSS.HSF.TF.C.8

Verify the following:

• cos²x

• sin²x

• cot²x

• tan²x

Tags

CCSS.HSF.TF.C.8

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

•  $\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\frac{\pi}{6},\frac{5\pi}{6}$  

•  $\frac{\pi}{3},\frac{2\pi}{3}$  

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

Tags

CCSS.HSF.TF.B.7

Find the exact value of $\sin285\degree$ 

•  $\frac{\left(\sqrt{6}+\sqrt{2}\right)}{4}$  

•  $\frac{\left(-\sqrt{6}-\sqrt{2}\right)}{4}$  

•  $\frac{\left(\sqrt{6}+\sqrt{2}\right)}{2}$  

•  $\frac{\left(-\sqrt{6}-\sqrt{2}\right)}{2}$  

Tags

CCSS.HSF.TF.C.9

 $\frac{1}{\sin\theta-1}-\frac{1}{\sin\theta+1}$  Simplify

•  $2\csc^2\theta$  

•  $-2\csc^2\theta$  

•  $2\sec^2\theta$  

•  $-2\sec^{2\ }\theta$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3