Trigonometry 2

Question 1

How to convert from degrees to radians?

Answer 1

Divide by 180, times by π

Question 2

How to convert from radians to degrees?

Answer 2

Divide by π, times by 180

Question 3

For a circle with radius r, and angle ø, what is its arc length ‘s’?

Answer 3

s = rø

Question 4

What is the area A for a sector with radius r, and angle ø?

Answer 4

A = (r^2ø)/2

Question 5

For small angle approximations, sin(ø) is equal to what?

Answer 5

ø

Question 6

For small angle approximations, cos(ø) is equal to what?

Answer 6

1 - (ø^2)/2

Question 7

For small angle approximations, tan(ø) is equal to what?

Answer 7

ø

Question 8

True or false: The inverse of sin, cos, and tan are reflections on a graph

Answer 8

True

Question 9

sec(x)^2= ?

Answer 9

sec(x)^2 = 1 + tan(x)^2

Question 10

cosec(x)^2 = ?

Answer 10

cosec(x)^2 = 1 + cot(x)^2

Question 11

sin(2A) = ?

Answer 11

sin(2A) = 2sin(A)cos(A)

Question 12

cos(2A) = ? (There are 3)

Answer 12

cos(2A) = cos(A)^2 - sin(A)^2
cos(2A) = 2cos(A)^2 - 1
cos(2A) = 1 - 2sin(A)^2

Question 13

tan(2A) = ?

Answer 13

2tan(A)/1- tan(A)^2

Question 14

What is the identity that uses cosec(x)^2 and cot(x)^2?

Answer 14

cosec(x)^2 - cot(x)^2 = 1