Sin Formula

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:

  1. sin θ = Perpendicular / Hypotenuse.
  2. sin(θ + 2nπ) = sin θ for every θ
  3. 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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Sin Formula

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