Tan 44 Degrees

The value of tan 44 degrees is 0.9656887. . .. Tan 44 degrees in radians is written as tan (44° × π/180°), i.e., tan (11π/45) or tan (0.767944. . .). In this article, we will discuss the methods to find the value of tan 44 degrees with examples.

• Tan 44° in decimal: 0.9656887. . .
• Tan (-44 degrees): -0.9656887. . .
• Tan 44° in radians: tan (11π/45) or tan (0.7679448 . . .)

What is the Value of Tan 44 Degrees?

The value of tan 44 degrees in decimal is 0.965688774. . .. Tan 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 . . .
∴ tan 44° = tan(0.7679) = 0.9656887. . .

Explanation:

For tan 44 degrees, the angle 44° lies between 0° and 90° (First Quadrant). Since tangent function is positive in the first quadrant, thus tan 44° value = 0.9656887. . .
Since the tangent function is a periodic function, we can represent tan 44° as, tan 44 degrees = tan(44° + n × 180°), n ∈ Z.
⇒ tan 44° = tan 224° = tan 404°, and so on.
Note: Since, tangent is an odd function, the value of tan(-44°) = -tan(44°).

Methods to Find Value of Tan 44 Degrees

The tangent function is positive in the 1st quadrant. The value of tan 44° is given as 0.96568. . .. We can find the value of tan 44 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Tan 44° in Terms of Trigonometric Functions

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

• sin(44°)/cos(44°)
• ± sin 44°/√(1 - sin²(44°))
• ± √(1 - cos²(44°))/cos 44°
• ± 1/√(cosec²(44°) - 1)
• ± √(sec²(44°) - 1)
• 1/cot 44°

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

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

• cot(90° - 44°) = cot 46°
• -cot(90° + 44°) = -cot 134°
• -tan (180° - 44°) = -tan 136°

Tan 44 Degrees Using Unit Circle

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

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

Hence the value of tan 44° = y/x = 0.9657 (approx).

☛ Also Check:

• tan 360 degrees
• tan 180 degrees
• tan 105 degrees
• tan 4 degrees
• tan 600 degrees
• tan 27 degrees

FAQs on Tan 44 Degrees

What is Tan 44 Degrees?

Tan 44 degrees is the value of tangent trigonometric function for an angle equal to 44 degrees. The value of tan 44° is 0.9657 (approx).

How to Find the Value of Tan 44 Degrees?

The value of tan 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 tan 44° is equal to the y-coordinate(0.6947) divided by the x-coordinate (0.7193). ∴ tan 44° = 0.9657

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

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

• sin(44°)/cos(44°)
• ± sin 44°/√(1 - sin²(44°))
• ± √(1 - cos²(44°))/cos 44°
• ± 1/√(cosec²(44°) - 1)
• ± √(sec²(44°) - 1)
• 1/cot 44°

☛ Also check: trigonometric table

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

Since the tangent function can be represented using the cosecant function, we can write tan 44° as 1/√(cosec²(44°) - 1). The value of cosec 44° is equal to 1.43955.

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

Using trigonometric identities, we can write tan 44° in terms of sin 44° as, tan(44°) = sin 44°/√(1 - sin²(44°)) . Here, the value of sin 44° is equal to 0.6947.