# What is the value of sin 45 and cos 45?

## What is the value of sin 45 and cos 45?

Trigonometry Examples The exact value of sin(45) is √22 . The exact value of cos(45) is √22 .

## What is the sin and cos of 45?

1/√2

Therefore, both the sine and cosine of 45° equal 1/√2 which may also be written √2 / 2. Next consider 30° and 60° angles. In a 30°-60°-90° right triangle, the ratios of the sides are 1 : √3 : 2. It follows that sin 30° = cos 60° = 1/2, and sin 60° = cos 30° = √3 / 2.

**What is the equivalent of sin 45?**

0.7071

Sin 45 degrees is the value of sine trigonometric function for an angle equal to 45 degrees. The value of sin 45° is 1/√2 or 0.7071 (approx).

### What is the exact value of cos 45?

The value of cos 45° is equal to the x-coordinate (0.7071). ∴ cos 45° = 0.7071.

### What is sin 45 degrees in fraction?

= 1 / 2

Sine 0° | 0 |
---|---|

Sine 30° or Sine π/6 | 1/2 |

Sine 45° or Sine π/4 | 1 / 2 |

Sine 60°or Sine π/3 | 3 / 2 |

Sine 90° or Sine π/2 | 1 |

**What fraction is cos 45?**

∴ cos 45° = cos(0.7853) = 1/√2 or 0.7071067. . . Explanation: For cos 45 degrees, the angle 45° lies between 0° and 90° (First Quadrant).

#### What angles are sine and cosine the same?

First, we will look at angles of 45° or π4, as shown in Figure 2.1. 9. A 45°–45°–90° triangle is an isosceles triangle, so the x- and y-coordinates of the corresponding point on the circle are the same. Because the x- and y-values are the same, the sine and cosine values will also be equal.

#### What is COS 45 as a fraction?

Popular Problems. Find the Exact Value cos(45 degrees ) cos(45°) The exact value of cos(45°) cos ( 45 ° ) is √22 .

**How do you simplify sin 45?**

Algebra Examples The exact value of sin(45) is √22 .

## What is the inverse of cos 45?

Arccos table

x | arccos(x) | |
---|---|---|

degrees | radians | |

0 | 90° | π/2 |

0.5 | 60° | π/3 |

0.7071068 | 45° | π/4 |

## What is COS 45 in radical form?

√22

Trigonometry Examples The exact value of cos(45°) cos ( 45 ° ) is √22 .

**What is the value of cos 45?**

The exact value of cos 45 degrees is 1/√2 (in surd form), which is also equal to sin 45 degrees. It is an irrational number, equal to 0.7071067812… in decimal form. The approximate value of cos 45 is equal to 0.7071.

### Is there a single algorithm to calculate sin and cos?

There’s not only a single algorithm to calculate sin and cos. Each will be correct for some set of inputs but incorrect for some others. They also have different memory and time requirements so some can be very fast with higher error, some will require a lot more time and memory but they can achieve much higher accuracy.

### What is the value of a trigonometric function of 45 degrees?

Therefore, 0.7071 or 1/√2 is a value of a trigonometric function or trigonometric ratio of standard angle (45 degrees). Suppose we have a right-angled triangle, in which the other two angles are equal to 45 degrees. Now, if the angles of a right triangle are 45 degrees, then the adjacent sides are equal in length.

**What is the difference between sin (1 * Pi/180) and cos?**

and not only those… sin (1 * PI / 180.0) also returns a slightly different number than cos (89 * PI / 180.0) although they should be the same. Moreover it’s not only a sin vs cos problem, it’s also a sin vs sin problem: sin (1 * PI / 180.0) returns a different value than sin (179 * PI / 180.0), again they should be the same.