Flashcards: Common sine and cosine values

sin(30°)

<p>= 0.5</p>

= 0.5

cos(30°)

<p>≈ 0.866</p>

≈ 0.866

sin(45°)

<p>≈ 0.707</p>

≈ 0.707

cos(45°)

<p>≈ 0.707</p>

≈ 0.707

sin(60°)

<p>≈ 0.866</p>

≈ 0.866

cos(60°)

<p>= 0.5</p>

= 0.5

sin(90°)

1

cos(90°)

0

sin(120°)

<p>≈ 0.866</p>

≈ 0.866

cos(120°)

<p>= -0.5</p>

= -0.5

sin(135°)

<p>≈ 0.707</p>

≈ 0.707

cos(135°)

<p>≈ -0.707</p>

≈ -0.707

sin(150°)

<p>= 0.5</p>

= 0.5

cos(150°)

<p>≈ -0.866</p>

≈ -0.866

sin(180°)

0

cos(180°)

-1

sin(210°)

<p>= -0.5</p>

= -0.5

cos(210°)

<p>≈ -0.866</p>

≈ -0.866

sin(225°)

<p>≈ -0.707</p>

≈ -0.707

cos(225°)

<p>≈ -0.707</p>

≈ -0.707

sin(240°)

<p>≈ -0.866</p>

≈ -0.866

cos(240°)

<p>= -0.5</p>

= -0.5

sin(270°)

-1

cos(270°)

0

sin(300°)

<p>≈ -0.866</p>

≈ -0.866

cos(300°)

<p>= 0.5</p>

= 0.5

sin(315°)

<p>≈ -0.707</p>

≈ -0.707

cos(315°)

<p>≈ 0.707</p>

≈ 0.707

sin(330°)

<p>= -0.5</p>

= -0.5

cos(330°)

<p>≈ 0.866</p>

≈ 0.866

sin(π/6)

<p>= 0.5</p>

= 0.5

cos(π/6)

<p>≈ 0.866</p>

≈ 0.866

sin(π/4)

<p>≈ 0.707</p>

≈ 0.707

cos(π/4)

<p>≈ 0.707</p>

≈ 0.707

sin(π/3)

<p>≈ 0.866</p>

≈ 0.866

cos(π/3)

<p>= 0.5</p>

= 0.5

sin(π/2)

1

cos(π/2)

0

sin(2π/3)

<p>≈ 0.866</p>

≈ 0.866

cos(2π/3)

<p>= -0.5</p>

= -0.5

sin(3π/4)

<p>≈ 0.707</p>

≈ 0.707

cos(3π/4)

<p>≈ -0.707</p>

≈ -0.707

sin(5π/6)

<p>= 0.5</p>

= 0.5

cos(5π/6)

<p>≈ -0.866</p>

≈ -0.866

sin(π)

0

cos(π)

-1

sin(7π/6)

<p>= -0.5</p>

= -0.5

cos(7π/6)

<p>≈ -0.866</p>

≈ -0.866

sin(5π/4)

<p>≈ -0.707</p>

≈ -0.707

cos(5π/4)

<p>≈ -0.707</p>

≈ -0.707

sin(4π/3)

<p>≈ -0.866</p>

≈ -0.866

cos(4π/3)

<p>= -0.5</p>

= -0.5

sin(3π/2)

-1

cos(3π/2)

0

sin(5π/3)

<p>≈ -0.866</p>

≈ -0.866

cos(5π/3)

<p>= 0.5</p>

= 0.5

sin(7π/4)

<p>≈ -0.707</p>

≈ -0.707

cos(7π/4)

<p>≈ 0.707</p>

≈ 0.707

sin(11π/6)

<p>= -0.5</p>

= -0.5

cos(11π/6)

<p>≈ 0.866</p>

≈ 0.866

sin(0)

0

cos(0)

1

arcsin(x) = 0.6

x = ?

≈ 36.9 degrees

arccos(x) = 0.8

x = ?

≈ 36.9 degrees

arcsin(x) = 0.8

x = ?

≈ 53.1 degrees

arccos(x) = 0.6

x = ?

≈ 53.1 degrees

arcsin(x) = 0.28

x = ?

≈ 16.3 degrees

arccos(x) = 0.96

x = ?

≈ 16.3 degrees

arcsin(x) = 0.96

x = ?

≈ 73.7 degrees

arccos(x) = 0.28

x = ?

≈ 73.7 degrees

List the five simplest Pythagorean triples:

3-4-5

5-12-13

7-24-25

8-15-17

20-21-29

For small angles, ...

sinθ = tanθ