Trigonometric Functions

Question 1

What is the equation for the length of an arc?

Answer 1

L=rθ

Question 2

What is the equation for the area of a sector?

Answer 2

A=0.5(r²θ)

Question 3

What is the equation for the area of a segment?

Answer 3

A=0.5r²(θ-sinθ)

Question 4

What is Sinθ approximately equal to for small angle approximations?

Answer 4

≈θ

Question 5

What is Cosθ approximately equal to for small angle approximations?

Answer 5

≈1-0.5θ²

Question 6

What is Tanθ approximately equal to for small angle approximations?

Answer 6

≈θ

Question 7

What is Sin(A+B) equal to?

Answer 7

Sin(A)Cos(B)+Cos(A)Sin(B)

Question 8

What is Sin(A-B) equal to?

Answer 8

Sin(A)Cos(B)-Cos(A)Sin(B)

Question 9

What is Cos(A+B) equal to?

Answer 9

Cos(A)Cos(B)-Sin(A)Sin(B)

Question 10

What is Cos(A-B) equal to?

Answer 10

Cos(A)Cos(B)+Sin(A)Sin(B)

Question 11

What is Tan(A+B) equal to?

Answer 11

(Tan(A)+Tan(B))/(1-Tan(A)Tan(B))

Question 12

What is Tan(A-B) equal to?

Answer 12

(Tan(A)-Tan(B))/(1+Tan(A)Tan(B))

Question 13

What is Sin2A equal to?

Answer 13

2Sin(A)Cos(A)

Question 14

What is Cos2A equal to?

Answer 14

Cos²(A)-Sin²(A)

2Cos²(A)-1

1-2Sin²(A)

Question 15

What is Tan2A equal to?

Answer 15

(2TanA))/(1-Tan²(A))

Question 16

What is Cosecant?

Answer 16

Cosec=1/Sin(x)

Question 17

What is Secant?

Answer 17

Sec=1/Cos(x)

Question 18

What is Cotangent?

Answer 18

Cot=1/Tan(x)

Question 19

What is Sec²(x) equal to?

Answer 19

1+Tan²(x)

Question 20

What is Cosec²(x) equal to?

Answer 20

1+Cot²(x)