Trig Identities and Equations

Find tan u. 

•  $\frac{\sqrt{5}}{2}$  

•  $\sqrt{5}$  

•  $\sqrt{3}$  

•  $\frac{\sqrt{5}}{3}$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

• $\frac{-4\sqrt{15}}{15}$

• $\frac{4\sqrt{15}}{15}$

• $\frac{15}{4}$

• $\frac{-15}{4}$

Find sec(x). 

•  $\frac{-\sqrt{65}}{7}$  

•  $\frac{-\sqrt{65}}{4}$  

•  $\frac{-4}{\sqrt{65}}$  

•  $\frac{-7}{\sqrt{65}}$  

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.8

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Simplify (Hint: you will need to FOIL first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

Simplify

• csc²θ
• sec²θ
• cscθ
• 1

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Simplify: sin x cos²x – sin x

• -sin³x

• -sin²x

• -cos³x

• -cos²x

• tan x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Use the fundamental identities to simplify the expression.

• $\sin\left(\theta\right)$

• $\cos\left(\theta\right)$

• $\tan\left(\theta\right)$

• $\csc\left(\theta\right)$

• $\cot\left(\theta\right)$

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8