Table of Contents
Learn the Value of Sin 30 Degrees
The value of sin 30 degrees is 1/2. This means that the length of the opposite side of a 30-degree angle is 1/2 the length of the hypotenuse.
Trigonometric Ratios
The trigonometric ratios are the ratios of the lengths of the sides of a right triangle to the length of the hypotenuse. The six trigonometric ratios are:
sine, cosine, tangent, cotangent, secant, and cosecant.
Sine of 30 Degrees Value
The value of the sine of 30 degrees is 0.5.
Sine Law
The sine law states that the sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse.
Derivation to Find the Sin 30 Value
Let us consider an equilateral triangle ABC having all the angles as 60 degrees. Now, the question is what is the value of sin 30 and what is the opposite of sin ?
Hence to find the answer of sin 30 value we need to know the length of all the sides of the triangle.
So, let us suppose that AB=2a, such that half of each side is a.
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To find the value of sin 30 degree, we will use the following formula,
Sinϴ = Perpendicular Hypotenuse.
Sin 30° = BD/AB = a/2a = 12
Thus, the value of Sin 30 degrees is equal to 12(half) or 0.5.
Just like the way we derived the value of sin 30 degrees, we can derive the value of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.
Infinity Learn has arranged the chapter of trigonometry with utmost care with lots of examples and derivations done by subject teachers in an easy understandable way. They have given special focus on each function separately like here for sin30 degrees.
Solved Examples
Example 1: In triangle XYZ, right-angled at Y, XY = 10 cm and angle XZY = 30°. Find the length of the side XZ.
Solution:
To find the length of the side XZ, we use the formula of the sine function, which is ,
Sin 30°= Perpendicular Hypotenuse
Sin 30°= XY / XZ
On substituting the value of sin 30
½ = XY/ XZ
½ = 10/ XZ
XZ = 20cm
Therefore, the length of the side, XZ = 20 cm.
Example 2: How do I find the value of sin(-30)?
Solution:
Sin (-30) = – Sin (30)
Sin 30 = ½
Therefore sin (-30) = – ½ .
Related Links
| Cos 30 Degree | Value of Sin 180 |
| Sin 60 Degree | Sin 30 |
| Sin Cos Tan Values | Cos 90 Value |
Frequently Asked Questions (FAQs) about Sin 30 degrees
Sin 30 degrees is equal to 0.5.
You can calculate sin 30 degrees using a scientific calculator or trigonometric tables. Alternatively, it is the ratio of the length of the side opposite the angle (in a right-angled triangle) to the length of the hypotenuse.
Sin 30 degrees is a crucial value in trigonometry as it represents the sine function of a widely used and easily recognizable angle. It has numerous applications in various fields, including engineering, physics, and mathematics.
Sin 30 degrees is equal to 0.5, which also corresponds to cos 60 degrees and tan 30 degrees.
Sin 30 degrees is used in various real-world applications, such as calculating heights and distances, determining angles in engineering and construction, and analyzing waveforms in physics and signal processing.
Yes, sin 30 degrees can be expressed as a fraction: 1/2.
On the unit circle, sin 30 degrees is the y-coordinate of the point corresponding to the angle 30 degrees.
In geometry, sin 30 degrees is used to calculate the lengths of sides in right-angled triangles and to find the height of objects or buildings.
The sine function of 0 degrees is 0, and for 90 degrees, it is 1. For other common angles, the sine values can be found using trigonometric tables or calculators.
Sin 30 degrees is a fundamental value because it represents the sine function of one of the most widely known and commonly used angles, making it a fundamental building block in trigonometry and mathematics. What is sin 30 degrees?
How do you calculate sin 30 degrees?
Why is sin 30 degrees important in trigonometry?
How is sin 30 degrees related to other trigonometric values?
What are the practical applications of sin 30 degrees?
Can sin 30 degrees be expressed as a fraction?
What is the graphical representation of sin 30 degrees?
How is sin 30 degrees used in geometry?
What is the sine function of other common angles?
Why is sin 30 degrees a fundamental trigonometric value?
