Sin 79 Degrees

The value of sin 79 degrees is 0.9816271. . .. Sin 79 degrees in radians is written as sin (79° × π/180°), i.e., sin (1.378810. . .). In this article, we will discuss the methods to find the value of sin 79 degrees with examples.

• Sin 79°: 0.9816271. . .
• Sin (-79 degrees): -0.9816271. . .
• Sin 79° in radians: sin (1.3788101 . . .)

What is the Value of Sin 79 Degrees?

The value of sin 79 degrees in decimal is 0.981627183. . .. Sin 79 degrees can also be expressed using the equivalent of the given angle (79 degrees) in radians (1.37881 . . .).

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 79 degrees = 79° × (π/180°) rad = 1.3788 . . .
∴ sin 79° = sin(1.3788) = 0.9816271. . .

Explanation:

For sin 79 degrees, the angle 79° lies between 0° and 90° (First Quadrant). Since sine function is positive in the first quadrant, thus sin 79° value = 0.9816271. . .
Since the sine function is a periodic function, we can represent sin 79° as, sin 79 degrees = sin(79° + n × 360°), n ∈ Z.
⇒ sin 79° = sin 439° = sin 799°, and so on.
Note: Since, sine is an odd function, the value of sin(-79°) = -sin(79°).

Methods to Find Value of Sin 79 Degrees

The sine function is positive in the 1st quadrant. The value of sin 79° is given as 0.98162. . .. We can find the value of sin 79 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Sin 79 Degrees Using Unit Circle

To find the value of sin 79 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form a 79° angle with the positive x-axis.
• The sin of 79 degrees equals the y-coordinate(0.9816) of the point of intersection (0.1908, 0.9816) of unit circle and r.

Hence the value of sin 79° = y = 0.9816 (approx)

Sin 79° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the sin 79 degrees as:

• ± √(1-cos²(79°))
• ± tan 79°/√(1 + tan²(79°))
• ± 1/√(1 + cot²(79°))
• ± √(sec²(79°) - 1)/sec 79°
• 1/cosec 79°

Note: Since 79° lies in the 1st Quadrant, the final value of sin 79° will be positive.

We can use trigonometric identities to represent sin 79° as,

• sin(180° - 79°) = sin 101°
• -sin(180° + 79°) = -sin 259°
• cos(90° - 79°) = cos 11°
• -cos(90° + 79°) = -cos 169°

☛ Also Check:

• sin 40 degrees
• sin 60 degrees
• sin 36 degrees
• sin 65 degrees
• sin 23 degrees
• sin 95 degrees

FAQs on Sin 79 Degrees

What is Sin 79 Degrees?

Sin 79 degrees is the value of sine trigonometric function for an angle equal to 79 degrees. The value of sin 79° is 0.9816 (approx).

How to Find Sin 79° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of sin 79° can be given in terms of other trigonometric functions as:

• ± √(1-cos²(79°))
• ± tan 79°/√(1 + tan²(79°))
• ± 1/√(1 + cot²(79°))
• ± √(sec²(79°) - 1)/sec 79°
• 1/cosec 79°

☛ Also check: trigonometry table

What is the Value of Sin 79 Degrees in Terms of Cot 79°?

We can represent the sine function in terms of the cotangent function using trig identities, sin 79° can be written as 1/√(1 + cot²(79°)). Here, the value of cot 79° is equal to 0.19438.

How to Find the Value of Sin 79 Degrees?

The value of sin 79 degrees can be calculated by constructing an angle of 79° with the x-axis, and then finding the coordinates of the corresponding point (0.1908, 0.9816) on the unit circle. The value of sin 79° is equal to the y-coordinate (0.9816). ∴ sin 79° = 0.9816.

What is the Value of Sin 79° in Terms of Cosec 79°?

Since the cosecant function is the reciprocal of the sine function, we can write sin 79° as 1/cosec(79°). The value of cosec 79° is equal to 1.01871.