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sin

sin

9 8.1
The number you get when you divide the side opposite an angle by the longest side in a right triangle
  • noun
  • /sɪn/
  • Specialized
translation icon : seno
  • Using the formula, we can calculate the sin of the given angle in our triangle.
  • sin theta

We have X which is algebraic sin X, which is trig.

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Examples

  • To find the sin of 30 degrees, you divide the length of the opposite side by the hypotenuse.

  • In a right-angled triangle, the sin of angle A is the ratio of the length of the opposite side to the hypotenuse.

  • In other words, sin X is equal to Y, right?

  • If you take a look at that calculation, tan A = so, sin A cos A

  • So let us take DXDT is equal to minus sin T.

  • We have X which is algebraic sin X, which is trig.

  • So the derivative of sin X is cosine X and then the derivative of cosine X is minus sine X.

Synonyms

sine
vssin
  • Specialized
9 6.7

A number equal to the length of the side opposite an angle divided by the hypotenuse in a right triangle

refers only to the side-to-hypotenuse ratio in a right triangle

Idioms

8 8.4

A couple who live together and have sex without being married, often seen as wrong by some people

guilty as sin
  • Informal
3 8.2

Feeling or looking very ashamed for doing something wrong

ugly as sin
  • Offensive
2 7.2

Very unpleasant to look at or to be with

like sin
  • Informal
1 9.2

To do something very quickly or with great effort

Compounds

mortal sin
  • Specialized
13 8.2

Very serious wrongdoing in Christian belief that stops God from forgiving you unless you say you are sorry

12 8.9

A condition all people get from Adam that makes them likely to do wrong

deadly sin
  • Formal
8 8.1

A very serious wrong action in Christian belief that leads to spiritual death unless you ask for forgiveness

sin tax
  • Literature
3 5.3

A tax on products people think are harmful, like alcohol or tobacco

venial sin
  • Specialized
2 8.9

A less serious wrong in Christianity that does not separate you from God

1 9.4

A priest forgives a person's sins after they confess

sin bin
  • Jargon
1 8.1

A small area where a player must wait as a penalty in sports like rugby or hockey

actual sin
  • Formal
9.0

A wrong act done knowingly and by choice, not a sin you are born with

Surface Forms

sin singular
sins plural

Etymology

The math word sin comes from sine, which comes from Latin sinus meaning 'curve' or 'bay'. Long ago, people used words for 'curve' and 'fold' to name the function that makes a wave-like line, so sin now names the ratio that links an angle to the opposite side and the long side of a right triangle.