Sin 44 Degrees

The value of sin 44 degrees is 0.6946583. . .. Sin 44 degrees in radians is written as sin (44° × π/180°), i.e., sin (11π/45) or sin (0.767944. . .). In this article, we will discuss the methods to find the value of sin 44 degrees with examples.

• Sin 44°: 0.6946583. . .
• Sin (-44 degrees): -0.6946583. . .
• Sin 44° in radians: sin (11π/45) or sin (0.7679448 . . .)

What is the Value of Sin 44 Degrees?

The value of sin 44 degrees in decimal is 0.694658370. . .. Sin 44 degrees can also be expressed using the equivalent of the given angle (44 degrees) in radians (0.76794 . . .).

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 44 degrees = 44° × (π/180°) rad = 11π/45 or 0.7679 . . .
∴ sin 44° = sin(0.7679) = 0.6946583. . .

Explanation:

For sin 44 degrees, the angle 44° lies between 0° and 90° (First Quadrant). Since sine function is positive in the first quadrant, thus sin 44° value = 0.6946583. . .
Since the sine function is a periodic function, we can represent sin 44° as, sin 44 degrees = sin(44° + n × 360°), n ∈ Z.
⇒ sin 44° = sin 404° = sin 764°, and so on.
Note: Since, sine is an odd function, the value of sin(-44°) = -sin(44°).

Methods to Find Value of Sin 44 Degrees

The sine function is positive in the 1st quadrant. The value of sin 44° is given as 0.69465. . .. We can find the value of sin 44 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Sin 44 Degrees Using Unit Circle

To find the value of sin 44 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form a 44° angle with the positive x-axis.
• The sin of 44 degrees equals the y-coordinate(0.6947) of the point of intersection (0.7193, 0.6947) of unit circle and r.

Hence the value of sin 44° = y = 0.6947 (approx)

Sin 44° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the sin 44 degrees as:

• ± √(1-cos²(44°))
• ± tan 44°/√(1 + tan²(44°))
• ± 1/√(1 + cot²(44°))
• ± √(sec²(44°) - 1)/sec 44°
• 1/cosec 44°

Note: Since 44° lies in the 1st Quadrant, the final value of sin 44° will be positive.

We can use trigonometric identities to represent sin 44° as,

• sin(180° - 44°) = sin 136°
• -sin(180° + 44°) = -sin 224°
• cos(90° - 44°) = cos 46°
• -cos(90° + 44°) = -cos 134°

☛ Also Check:

• sin 13 degrees
• sin 53 degrees
• sin 2 degrees
• sin 5 degrees
• sin 225 degrees
• sin 900 degrees

FAQs on Sin 44 Degrees

What is Sin 44 Degrees?

Sin 44 degrees is the value of sine trigonometric function for an angle equal to 44 degrees. The value of sin 44° is 0.6947 (approx).

What is the Value of Sin 44 Degrees in Terms of Cos 44°?

Using trigonometric identities, we can write sin 44° in terms of cos 44° as, sin(44°) = √(1-cos²(44°)). Here, the value of cos 44° is equal to 0.7193398.

How to Find Sin 44° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of sin 44° can be given in terms of other trigonometric functions as:

• ± √(1-cos²(44°))
• ± tan 44°/√(1 + tan²(44°))
• ± 1/√(1 + cot²(44°))
• ± √(sec²(44°) - 1)/sec 44°
• 1/cosec 44°

☛ Also check: trigonometric table

How to Find the Value of Sin 44 Degrees?

The value of sin 44 degrees can be calculated by constructing an angle of 44° with the x-axis, and then finding the coordinates of the corresponding point (0.7193, 0.6947) on the unit circle. The value of sin 44° is equal to the y-coordinate (0.6947). ∴ sin 44° = 0.6947.

What is the Value of Sin 44° in Terms of Cosec 44°?

Since the cosecant function is the reciprocal of the sine function, we can write sin 44° as 1/cosec(44°). The value of cosec 44° is equal to 1.43955.