# What is the value of sin150

### Many angles - one sine value

The sine of 30 ° is 0.5. If you continue walking around the unit circle, you will see that the sine of 150 ° is also equal to 0.5.

$$ sin (30 ^ °) = sin (150 ^ °) = 0.5 $$

How exactly is the relationship between different angles and the same sine values?

The right triangle is mirrored on the y-axis.

The 150 ° angle results from $$ 180 ^ ° -30 ^ ° $$ or generally $$ 180 ^ ° -alpha $$.

Degree | Radians |

$$ sin (alpha) = sin (180 ^ ° -alpha) $$ | $$ sin (x) = sin (pi-x) $$ |

In memory of:

$$ pi $$ in radians corresponds to 180 ° in degrees.

### More relationships

If you continue to wander on the unit circle, even more relationships arise.

**Example:**

$$ sin (30 ^ °) = 0.5 $$ and $$ sin (210 ^ °) = - 0.5 $$.

In general:

Degree | Radians |

$$ sin (alpha) = - sin (180 ^ ° + alpha) $$ | $$ sin (x) = - sin (pi + x) $$ |

And this relationship here:

**Example:**

$$ sin (30 ^ °) = 0.5 $$ and $$ sin (330 ^ °) = - 0.5 $$.

Degree | Radians |

$$ sin (alpha) = - sin (360 ^ ° -alpha) $$ | $$ sin (x) = - sin (2pi-x) $$ |

### For the cosine

You can also find such relationships for the cosine.

**Example:**

$$ cos (30 ^ °) = 0.87 $$ and $$ cos (210 ^ °) = - 0.87 $$.

In general:

Degree | Radians |

$$ cos (alpha) = - cos (180 ^ ° + alpha) $$ | $$ cos (x) = - cos (pi + x) $$ |

And this relationship here:

**Example:**

$$ cos (30 ^ °) = 0.87 $$ and $$ cos (330 ^ °) = 0.87 $$.

This is how it looks in general:

Degree | Radians |

$$ cos (alpha) = cos (360 ^ ° -alpha) $$ | $$ cos (x) = cos (2pi-x) $$ |

*kapiert.de*can do more:

- interactive exercises

and tests - individual classwork trainer
- Learning manager

- What is electronic cash on delivery
- Do you think Kristen Wiig is wonderful?
- How can I extract oxygen from water
- Are there black mountain lions
- Who is better Kohli or Sarfaraz
- Will closing liquor stores lower alcohol consumption
- How lived hunting and gathering
- How can you earn 2 online
- Which Asian cities have Michelin star restaurants?
- What is an online game
- Why is soft law important
- How are crowd scenes shot in films
- What are some famous Bihari dishes
- What is the Bradley Method
- What are some examples of anabolism
- Front-wheel drive is good in the snow
- What's your rating of Wicked Musical
- What is Bucks Fizz's most successful song
- What gives you stress Why
- Are debt securities like time deposits
- How do I record extremely quiet sounds
- Where is the best spicy food in Karachi
- Why are siblings changed at birth
- How can I delete NEET next year