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 xaxis.
 The sin of 79 degrees equals the ycoordinate(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:
 ± √(1cos²(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:
Examples Using Sin 79 Degrees

Example 1: Find the value of 2 × (sin 39.5° cos 39.5°). [Hint: Use sin 79° = 0.9816]
Solution:
Using the sin 2a formula,
2 sin 39.5° cos 39.5° = sin(2 × 39.5°) = sin 79°
∵ sin 79° = 0.9816
⇒ 2 × (sin 39.5° cos 39.5°) = 0.9816 
Example 2: Simplify: 2 (sin 79°/sin 439°)
Solution:
We know sin 79° = sin 439°
⇒ 2 sin 79°/sin 439° = 2(sin 79°/sin 79°)
= 2(1) = 2 
Example 3: Using the value of sin 79°, solve: (1cos²(79°)).
Solution:
We know, (1cos²(79°)) = (sin²(79°)) = 0.9636
⇒ (1cos²(79°)) = 0.9636
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:
 ± √(1cos²(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 xaxis, 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 ycoordinate (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.
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