Trig

Question 1

What is the exact value of sin(0°)?

Answer 1

0

The sine of 0 degrees is 0.

Question 2

What is the exact value of sin(30°)?

Answer 2

1/2

The sine of 30 degrees is 1/2.

Question 3

What is the exact value of sin(45°)?

Answer 3

√2/2

The sine of 45 degrees is √2/2.

Question 4

What is the exact value of sin(60°)?

Answer 4

√3/2

The sine of 60 degrees is √3/2.

Question 5

What is the exact value of sin(90°)?

Answer 5

1

The sine of 90 degrees is 1.

Question 6

What is the exact value of cos(0°)?

Answer 6

1

The cosine of 0 degrees is 1.

Question 7

What is the exact value of cos(30°)?

Answer 7

√3/2

The cosine of 30 degrees is √3/2.

Question 8

What is the exact value of cos(45°)?

Answer 8

√2/2

The cosine of 45 degrees is √2/2.

Question 9

What is the exact value of cos(60°)?

Answer 9

1/2

The cosine of 60 degrees is 1/2.

Question 10

What is the exact value of cos(90°)?

Answer 10

0

The cosine of 90 degrees is 0.

Question 11

What is the exact value of tan(0°)?

Answer 11

0

The tangent of 0 degrees is 0.

Question 12

What is the exact value of tan(30°)?

Answer 12

√3/3

The tangent of 30 degrees is √3/3.

Question 13

What is the exact value of tan(45°)?

Answer 13

1

The tangent of 45 degrees is 1.

Question 14

What is the exact value of tan(60°)?

Answer 14

√3

The tangent of 60 degrees is √3.

Question 15

What is the exact value of tan(90°)?

Answer 15

undefined

The tangent of 90 degrees is undefined.

Question 16

What is the exact value of sin(0 radians)?

Answer 16

0

The sine of 0 radians is 0.

Question 17

What is the exact value of sin(π/6 radians)?

Answer 17

1/2

The sine of π/6 radians is 1/2.

Question 18

What is the exact value of sin(π/4 radians)?

Answer 18

√2/2

The sine of π/4 radians is √2/2.

Question 19

What is the exact value of sin(π/3 radians)?

Answer 19

√3/2

The sine of π/3 radians is √3/2.

Question 20

What is the exact value of sin(π/2 radians)?

Answer 20

1

The sine of π/2 radians is 1.

Question 21

What is the exact value of cos(0 radians)?

Answer 21

1

The cosine of 0 radians is 1.

Question 22

What is the exact value of cos(π/6 radians)?

Answer 22

√3/2

The cosine of π/6 radians is √3/2.

Question 23

What is the exact value of cos(π/4 radians)?

Answer 23

√2/2

The cosine of π/4 radians is √2/2.

Question 24

What is the exact value of cos(π/3 radians)?

Answer 24

1/2

The cosine of π/3 radians is 1/2.

Question 25

What is the exact value of cos(π/2 radians)?

Answer 25

0 ## Footnote The cosine of π/2 radians is 0.

Question 26

What is the exact value of tan(0 radians)?

Answer 26

0 ## Footnote The tangent of 0 radians is 0.

Question 27

What is the exact value of tan(π/6 radians)?

Answer 27

1/√3 or √3/3 ## Footnote The tangent of π/6 radians is 1/√3.

Question 28

What is the exact value of tan(π/4 radians)?

Answer 28

1 ## Footnote The tangent of π/4 radians is 1.

Question 29

What is the exact value of tan(π/3 radians)?

Answer 29

√3 ## Footnote The tangent of π/3 radians is √3.

Question 30

What is the exact value of tan(π/2 radians)?

Answer 30

undefined ## Footnote The tangent of π/2 radians is undefined.

Question 31

What is the conversion of 0 radians to degrees?

Answer 31

0 degrees

Question 32

What is the conversion of π/6 radians to degrees?

Answer 32

30 degrees

Question 33

What is the conversion of π/4 radians to degrees?

Answer 33

45 degrees

Question 34

What is the conversion of π/3 radians to degrees?

Answer 34

60 degrees

Question 35

What is the conversion of π/2 radians to degrees?

Answer 35

90 degrees

Question 36

What is the conversion of π radians to degrees?

Answer 36

180 degrees

Question 37

What is the conversion of 3π/2 radians to degrees?

Answer 37

270 degrees

Question 38

What is the conversion of 2π radians to degrees?

Answer 38

360 degrees

Question 39

What is the formula to convert radians to degrees?

Answer 39

Degrees = Radians × (180/π)

Question 40

What is the formula to convert degrees to radians?

Answer 40

Radians = Degrees × (π/180)

Question 41

What are the symmetry identities for cos?

Answer 41

- Cos(0) = cos(-0) - -cos(0) = cos(180-0) - cos(0) = cos(360+0)

Question 42

What are the symmetry identities for sin?

Answer 42

- -sin(0) = sin(-0) - sin(0) = sin(180-0) - sin(0) = sin(360+0)

Question 43

What is the tan identity?

Answer 43

- sin(0) / cos(0)

Question 44

What are the Pythagorean identities?

Answer 44

- cos^2(0) + sin^2(0) = 1 - 1+ tan^2(0) = sec^2(0) - cot^2(0) + 1 = cosec^2(0)

Question 45

What are the double angle formulae?

Answer 45

- sin2x = 2sinxcosx - cos2x = cos²x - sin²x = 2cos²x - 1 = 1 - 2sin²x - tan2x = 2tanx / 1- tan²x

Question 47

What is the small angle approximation of