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Value of Sin 120 Degree
The value of sin 120 degrees is 1.57. This means that if you were to draw a right triangle with a base of 120 degrees and a height of 1, the triangle’s hypotenuse would have a value of 1.57.
What is the sin 120 Degrees Value?
The sin 120 degrees value is 1/2. This means that the value of sin 120 degrees is 1/2.
How to Derive Sin 120 Value?
To find the value of sin 120°, use the following steps:
1. Convert the angle to radians.
120° = 120/360 = 1/3
2. Use the sine function to find the value of sin 1/3.
sin 1/3 = 0.5
3. Therefore, the value of sin 120° is 0.5.
What are the Methods to derive the Value of sin 120 degrees Other than the Unit Circle?
There are a few methods to derive the value of sin 120 degrees other than the unit circle. One method is to use the law of sines. The law of sines states that the sine of an angle is equal to the ratio of the opposite side to the hypotenuse. In this case, the opposite side is the side opposite of the 120 degree angle, and the hypotenuse is the length of the side opposite of the angle. Plugging these values into the law of sines, the value of sin 120 degrees is equal to the ratio of the opposite side to the hypotenuse, or 0.5.
Trigonometry Ratios Value Table
A trigonometry ratio is a comparison of the lengths of the two sides of a triangle. The three most common ratios are sine, cosine, and tangent. Each ratio is determined by the angle of the triangle. The value table below lists the ratios for common angles.
The value table can be used to find the value of a ratio for a specific angle. To find the value of a ratio, find the angle in the first column and then find the ratio in the row that corresponds to the angle. The value in the cell at the intersection of the column and row is the value of the ratio.
For example, to find the value of the sine ratio for an angle of 30 degrees, find the angle in the first column and then find the sine ratio in the row that corresponds to the angle. The value in the cell at the intersection of the column and row is 0.5. This means that the sine ratio for an angle of 30 degrees is 0.5.
Sine, Cosine, and Tangent Ratios
| Angle (θ) | Sine (sin θ) | Cosine (cos θ) | Tangent (tan θ) |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | √3/3 |
| 45° | √2/2 | √2/2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | ∞ (Undefined) |
Law of Sine Formula
- The law of sine is a formula used in trigonometry that states that the sine of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side.
- The law of sine formula is a mathematical equation that is used to calculate the length of a side of a triangle, given the lengths of the other two sides. The equation is written as: sin(A) = opposite/hypotenuse. This equation can be rearranged to find the value of any of the sides of a triangle, given the other two sides.
Related Links
| Cos 30 Degree | Value of Sin 180 |
| Sin 60 Degree | Sin 120 |
| Sin Cos Tan Values | Cos 90 Value |
Frequently Asked Questions (FAQs) on Value of Sin 120
What is the value of Sin 120 degrees?
The value of Sin 120 degrees is √3/2.
How do you calculate Sin 120 degrees?
Sin 120 degrees is equal to the length of the side opposite the angle divided by the length of the hypotenuse in a right-angled triangle with a 120-degree angle.
What is the significance of Sin 120 degrees?
Sin 120 degrees is a trigonometric ratio used in various mathematical and scientific calculations.
Is Sin 120 degrees a positive or negative value?
Sin 120 degrees is a positive value.
Can Sin 120 degrees be simplified further?
No, √3/2 is the simplest form of Sin 120 degrees.
In which quadrant is Sin 120 degrees positive?
Sin 120 degrees is positive in the second quadrant.
What are the coordinates of the point corresponding to Sin 120 degrees?
The point corresponding to Sin 120 degrees is (0.5, √3/2) in the unit circle.
