About Sin Formula
Let us review a few points concerning the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry. In a right-angled triangle, the sine function can also be defined as the ratio of the length of the perpendicular to the length of the hypotenuse. Sin is a two-period periodic function with a domain of (,) and a range of [1,1]. To find the sides of a triangle, use the Sin formula.
What do you mean by Sin Formula?
The ratio of the perpendicular (opposite to the angle) to the hypotenuse is the sine of an angle in a right-angled triangle. The sin formula is written as follows:
- sin θ = Perpendicular / Hypotenuse.
- sin(θ + 2nπ) = sin θ for every θ
- sin(−θ) = − sin θ
Sin value table is given below
| Sine Degrees | Sine Values |
| Sine 0° | 0 |
| Sine 30° | 1/2 |
| Sine 45° | 1/√2 |
| Sine 60° | √3/2 |
| Sine 90° | 1 |
| Sine 120° | √3/2 |
| Sine 150° | 1/2 |
| Sine 180° | 0 |
| Sine 270° | -1 |
| Sine 360° | 0 |
Solved examples of Sin Formula
Example: Find the value of sin780°.
Sol: To find the value of sin 780° using the sin formula.
Since we have:
780° = 720° + 60°
⇒780° = 60°
⇒sin(780°) = sin(60°) = √3/2
Answer: the value of sin780o is √3/2.
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