Unit 2

Question 1

What are the 3 Pythagorean Identities?

Answer 1

sin^2(x)+cos^2(x)=1
1+tan^2(x)=sec^2(x)
1+cot^2(x)=csc^2(x)

Question 2

What are the 3 Reciprocal Identities?

Answer 2

sec(x)=1/cos(x)
csc(x)=1/sin(x)
cot(x)=1/tan(x)

Question 3

What are the 2 Quotient Identities?

Answer 3

tan(x)=sin(x)/cos(x)

cot(x)=cos(x)/sin(x)

Question 4

How is the domain of y=sin(x) restricted so that it is a one to one function?

Answer 4

Restricted to-pi/2<=x<=pi/2

Question 5

How is the domain of y=cos(x) restricted so that it is a one to one function?

Answer 5

Restricted to 0<=x<=pi

Question 6

How is the domain of y=sec(x) restricted so that it is a one to one function?

Answer 6

Restricted to 0<=x<=pi, but x cannot equal pi/2

Question 7

How is the domain of y=csc(x) restricted so that it is a one to one function?

Answer 7

Restricted to-pi/2<=x<=pi/2, but x cannot equal 0

Question 8

How is the domain of y=tan(x) restricted so that it is a one to one function?

Answer 8

Restricted to -pi/2<=x<=pi/2

Question 9

How is the domain of y=cot(x) restricted so that it is a one to one function?

Answer 9

Restricted to x values from 0 to pi

Question 10

Is sin(x) even or odd?

Answer 10

Odd, meaning sin(-x)=-sin(x)

Question 11

Is cos(x) even or odd?

Answer 11

Even, meaning cos(-x)=cos(x)

Question 12

Is tan(x) even or odd?

Answer 12

Odd, meaning tan(-x)=-tan(x)

Question 13

Is csc(x) even or odd?

Answer 13

Odd, meaning csc(-x)=-csc(x)

Question 14

Is sec(x) even or odd?

Answer 14

Even, meaning sec(-x)=sec(x)

Question 15

Is cot(x) even or odd?

Answer 15

Odd, meaning cot(-x)=-cot(x)