The value of sin 88 degrees is 0.9993908. . .

Bạn đang xem: Search results for sin88

. 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.

Xem thêm: 10 Bài Văn Tả Chiếc Áo Em Mặc Đến Lớp Hôm Nay ❤️️ 15 Bài Văn Hay

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.