5.3 Trig Identities Practice

What is the reciprocal of the sine function?

• cosecant

• cosine

• secant

• cotangent

Tags

CCSS.HSF.TF.A.2

Secant is the reciprocal of what function?

• Cosecant
• Sine
• Cosine
• Tangent

Tags

CCSS.HSF.TF.A.2

Given the Cos(x) = -2/3, then the Sec(x) = ?

• -2/3
• -3/2
• 3/2
• 2/3

Tags

CCSS.HSF.TF.C.8

Given the Csc(x) = 1, then the Sin(x) = ?

• 1
• -1
• 0
• Undefined

Tags

CCSS.HSF.TF.A.2

Tags

CCSS.HSF.TF.A.2

Answer explanation

 $\sec\left(135\degree\right)=\frac{1}{\cos\left(135\degree\right)}=\frac{1}{-\frac{\sqrt{2}}{2}}$   $=-\frac{2}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}$  

Tags

CCSS.HSF.TF.A.2

Simplify

• sin²θ
• cosθ
• tanθ
• 1- sin²θ

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSF.TF.C.8