# What is the value of sin 45 degrees?

Contents

## What is the exact value of sin 45 degrees?

The exact value of Sin 45 degree in decimal form is 0.7071067812.

## What is the value of sin 45 degree in fraction?

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 trigonometric value of 45 degree?

Cos 45° Value

Therefore, 0.7071 or 1/√2 is a value of a trigonometric function or trigonometric ratio of standard angle (45 degrees).

## What is sin 45 degrees in radians?

To convert degrees to radians, multiply by π180° π 180 ° , since a full circle is 360° or 2π radians. The exact value of sin(45) is √22 .

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

Trigonometry Examples

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

## How do you calculate 45 degrees?

Solution: One-fourth of 180 degree angle = 180/4 = 45. Answer: One-fourth of a 180-degree angle is a 45-degree angle.

## What is sin 40 degrees in fraction?

The value of sin 40 degrees is 0.6427876. . .. Sin 40 degrees in radians is written as sin (40° × π/180°), i.e., sin (2π/9) or sin (0.698131. . .).

## What is sin 60 degrees?

Sin 60 degrees is the value of sine trigonometric function for an angle equal to 60 degrees. The value of sin 60° is √3/2 or 0.866 (approx).

## What is sin 45 degree apex?

= 1 / 2

Sine 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 is sin 30 degrees?

The exact value of sin 30 degrees is ½.

## What is the tan of 45?

The exact value of tan 45 degrees is 1.

## What is the value of sin 45 into COS 45?

Therefore, the value of (sin 45° + cos 45°) is √2.

## What is the sin of a number?

Sine (sin) function – Trigonometry. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

## What is the value cos 60?

The value of cos 60 is 1/2.

## What degree is sin?

Sine Definition In Terms of Sin 0

Sin 45 or Sin π/4 1 / 2
Sin 60 or Sin π/3 3 / 2
Sin 90 or Sin π/2 1
Sin 180°c or Sin π

## What is tan30 value?

Tan 30 degree is equal to 1/√3 and its exact value is 0.57735.

## What is the sine of 29?

Sin 29 degrees is the value of sine trigonometric function for an angle equal to 29 degrees. The value of sin 29° is 0.4848 (approx).

## How do you find the value of sin 42?

The value of sin 42 degrees can be calculated by constructing an angle of 42° with the x-axis, and then finding the coordinates of the corresponding point (0.7431, 0.6691) on the unit circle. The value of sin 42° is equal to the y-coordinate (0.6691). ∴ sin 42° = 0.6691.

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## What is sin 120 degree value?

Hence, the value of sin 120 degrees is √3/2.

## How do you find the value of sin 30?

How to Find the Value of Sin 30 Degrees? The value of sin 30 degrees can be calculated by constructing an angle of 30° with the x-axis, and then finding the coordinates of the corresponding point (0.866, 0.5) on the unit circle. The value of sin 30° is equal to the y-coordinate (0.5). ∴ sin 30° = 0.5.

## What is the value of sin 30 in trigonometry?

The value of sin 30 degrees is 1/2.

## What is the value of cos 45 by 2?

find the value of cos(45/2). The answer is 1/2 √(2√2).

## How many π’s is 45 degrees?

Explanation: Consider that π rad corresponds to 180° . So 45° is 180°4 or π4 .

## How do you convert sin to radians?

To convert degrees to radians, multiply by π180° π 180 ° , since a full circle is 360° or 2π radians. The exact value of sin(30) is 12 . Multiply 12⋅π180 1 2 ⋅ π 180 .

## How do you find the value of sin 35?

How to Find the Value of Sin 35 Degrees? The value of sin 35 degrees can be calculated by constructing an angle of 35° with the x-axis, and then finding the coordinates of the corresponding point (0.8192, 0.5736) on the unit circle. The value of sin 35° is equal to the y-coordinate (0.5736). ∴ sin 35° = 0.5736.

## How do you find the value of sin 15?

The value of sin 15° can be found by making an angle of 15° with the x-axis and then finding the coordinates of the corresponding point (0.9659, 0.2588) on the unit circle. The value of sin 15° is equal to the y-coordinate (0.2588). Thus, sin 15° = 0.2588.

## How do you find cos 60?

The value of cos 60 degrees can be calculated by constructing an angle of 60° with the x-axis, and then finding the coordinates of the corresponding point (0.5, 0.866) on the unit circle. The value of cos 60° is equal to the x-coordinate (0.5). ∴ cos 60° = 0.5.

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## Which of the following is the value of sin 10?

Sin 10 degrees is the value of sine trigonometric function for an angle equal to 10 degrees. The value of sin 10° is 0.1736 (approx).

## How do you solve sin 50 degrees?

The value of sin 50 degrees can be calculated by constructing an angle of 50° with the x-axis, and then finding the coordinates of the corresponding point (0.6428, 0.766) on the unit circle. The value of sin 50° is equal to the y-coordinate (0.766). ∴ sin 50° = 0.766.

## How do you solve sin 70?

The value of sin 70 degrees can be calculated by constructing an angle of 70° with the x-axis, and then finding the coordinates of the corresponding point (0.342, 0.9397) on the unit circle. The value of sin 70° is equal to the y-coordinate (0.9397). ∴ sin 70° = 0.9397.

## Why is it called sine?

In trigonometry, the name “sine” comes through Latin from a Sanskrit word meaning “chord”. In the picture of a unit circle below, AB has length sinθ and this is half a chord of the circle. The co-functions are functions of complementary angles: cosθ = sin(π/2 − θ), cotθ = tan(π/2 − θ), and cscθ = sec(π/2 − θ).

## What are the rules for 45 45 90 triangles?

The main rule of 45-45-90 triangles is that it has one right angle and while the other two angles each measure 45° . The lengths of the sides adjacent to the right triangle, the shorter sides have an equal length.

## What is C in a triangle?

c. In any right-angled triangle, ABC, the side opposite the right-angle is called the hypotenuse. Here we use the convention that the side opposite angle A is labelled a. The side opposite B is labelled b and the side opposite C is labelled c.

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