The value of sin 88 degrees is 0.9993908. . .

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. Sin 88 degrees in radians is written as sin (88° × π/180°), i.e., sin (22π/45) or sin (1.535889. . .). In this article, we will discuss the methods to lớn find the value of sin 88 degrees with examples.

Sin 88°: 0.9993908. . .Sin (-88 degrees): -0.9993908. . .Sin 88° in radians: sin (22π/45) or sin (1.5358897 . . .)

## What is the Value of Sin 88 Degrees?

We know, using degree to lớn radian conversion, θ in radians = θ in degrees × (pi/180°)⇒ 88 degrees = 88° × (π/180°) rad = 22π/45 or 1.5358 . . .∴ sin 88° = sin(1.5358) = 0.9993908. . . Explanation:

For sin 88 degrees, the angle 88° lies between 0° & 90° (First Quadrant). Since sine function is positive in the first quadrant, thus sin 88° value = 0.9993908. . .Since the sine function is a periodic function, we can represent sin 88° as, sin 88 degrees = sin(88° + n × 360°), n ∈ Z.⇒ sin 88° = sin 448° = sin 808°, và so on.

Note: Since, sine is an odd function, the value of sin(-88°) = -sin(88°).

## Methods to Find Value of Sin 88 Degrees

The sine function is positive in the 1st quadrant. The value of sin 88° is given as 0.99939. . .. We can find the value of sin 88 degrees by:

Using Trigonometric FunctionsUsing Unit Circle

## Sin 88° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the sin 88 degrees as:

± √(1-cos²(88°))± tung 88°/√(1 + tan²(88°))± 1/√(1 + cot²(88°))± √(sec²(88°) - 1)/sec 88°1/cosec 88°

Note: Since 88° lies in the 1st Quadrant, the final value of sin 88° will be positive.

We can use trigonometric identities to lớn represent sin 88° as,

sin(180° - 88°) = sin 92°-sin(180° + 88°) = -sin 268°cos(90° - 88°) = cos 2°-cos(90° + 88°) = -cos 178°

## Sin 88 Degrees Using Unit Circle To find the value of sin 88 degrees using the unit circle:

Rotate ‘r’ anticlockwise to khung 88° angle with the positive x-axis.The sin of 88 degrees equals the y-coordinate(0.9994) of the point of intersection (0.0349, 0.9994) of unit circle & r.

Hence the value of sin 88° = y = 0.9994 (approx)

☛ Also Check: ## FAQs on Sin 88 Degrees

### What is Sin 88 Degrees?

Sin 88 degrees is the value of sine trigonometric function for an angle equal to 88 degrees. The value of sin 88° is 0.9994 (approx).

### What is the Value of Sin 88° in Terms of Sec 88°?

Since the sine function can be represented using the secant function, we can write sin 88° as √(sec²(88°) - 1)/sec 88°. The value of sec 88° is equal to 28.653708.

### How khổng lồ Find Sin 88° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of sin 88° can be given in terms of other trigonometric functions as:

± √(1-cos²(88°))± tung 88°/√(1 + tan²(88°))± 1/√(1 + cot²(88°))± √(sec²(88°) - 1)/sec 88°1/cosec 88°

☛ Also check: trigonometry table

### How to lớn Find the Value of Sin 88 Degrees?

The value of sin 88 degrees can be calculated by constructing an angle of 88° with the x-axis, & then finding the coordinates of the corresponding point (0.0349, 0.9994) on the unit circle. The value of sin 88° is equal khổng lồ the y-coordinate (0.9994). ∴ sin 88° = 0.9994.

### What is the Value of Sin 88 Degrees in Terms of Cot 88°?

We can represent the sine function in terms of the cotangent function using trig identities, sin 88° can be written as 1/√(1 + cot²(88°)). Here, the value of cot 88° is equal to lớn 0.03492.