Chapter 5

Question 1

What is Cos(90* - theta)?

Answer 1

Sin theta

Question 2

What is Tan(90* - theta)?

Answer 2

Cot theta

Question 3

What is Csc(90* - theta)?

Answer 3

Sec theta

Question 4

What is Sec(90* - theta)?

Answer 4

Csc theta

Question 5

What is Cot(90* - theta)?

Answer 5

Tan theta

Question 6

What is Sin(90* - theta)?

Answer 6

Cos theta

Question 7

What are the six reciprocal identies?

Answer 7

Cos theta is 1/sec theta
Sec theta is 1/cos theta
Sin theta is 1/csc theta
Csc theta is 1/sin theta
Tan theta is 1/cot theta
Cot theta is 1/tan theta

Question 8

What are the two quotient identies? (Tan and cot)

Answer 8

Tan(theta)=sin(theta)/cos(theta)

Cot(theta)=cos(theta)/sin(theta)

Question 9

What are the three pythagorean identies?

Answer 9

Cos^2(theta)+Sin^2(theta)=1
1+Tan^2(theta)=Sec^2(theta)
Cot^2(theta)+1=Csc^2(theta)

Question 10

What is the (x, y) coordinate for 30* or pie/6?

Answer 10

(Square root of 3/2, 1/2)

Question 11

What is the (x, y) coordinate for 45* or pie/4?

Answer 11

(Square root of 2/2, “”)

Question 12

What is the (x, y) coordinate for 60* or pie/3?

Answer 12

(1/2, Square root of 3/2)

Question 13

What is the sentence to remember where the functions are postive?

Answer 13

All Students Take Calculus

Question 14

What weird thing do you do with alpha? (Fishlike thing)

Answer 14

Be sure to not break it up if it is something like 3alpha, keep it together and divide it off once you have the degree measures