[Maths Class Notes] on Sin 60 Degrees Pdf for Exam

In trigonometry, there are three main functions (or ratios) that measure the angles and lengths of a right-angled triangle. The three ratios are sine, cosine, and tangent which are abbreviated as sin, cos, and tan, respectively. Trigonometric ratios have a lot of functions out of which solving a triangle is the most important purpose. To solve a triangle, information about one or more angles or sides of a triangle is needed for which trigonometric ratios come to save the day using sin, cos, and tan. In this article, the sine of angle 60° is explained.

Sine or sin

In a right-angled triangle, one angle is 90°, and the other two when added together equal to the third angle. The most important and prominent angles are 0, 30°, 45°, 60°, and 90°. Sine is defined as the ratio of the perpendicular to the hypotenuse of a right-angled triangle. Therefore, for an angle ∅, sin ∅ will be Perpendicular/Hypotenuse.  

Degrees and Radian

A degree is the most important measurement used in the field of trigonometry which is used to find out unknown angles. 

Let’s take an example of a clock which is a total of 360°. Every quarter of an hour represents 90° and the degree is further divided into minutes and seconds represented by ‘ and ‘ respectively.

The value of angles can also be referred to by radians, denoted by π which is equal to 180°. A radian is considered to be a unit circle that has a radius equal to one. Therefore, a circle has a total of 2π radians.

Values of Angles and Radians

All values of sin, cos, and tan can be found from 0 to 90° which are then repeated for other respective values over 90°. Tan ∅ can be written as sin∅/cos ∅. But now, only the basic and most important values of angles are to be learned first.

Sine:

sin 0 = 0

sin 30° = ½

sin 45°= 1/√2

sin 60°= √3/2

sin 90°= 1

Cosine:

Cos 0° = Sin 90° = 1

Cos 30°= Sin 60° = √3/2

Cos 45° = Sin 45° = 1/√2

Cos 60° = Sin 30° =½

Cos 90° = Sin 0° = 0

Tangent:

Tan 0° = Sin 0°/Cos 0° = 0

Similarly,

Tan 30° =1/√3

Tan 45° = 1

Tan 60° = √3

Tan 90° = ∞

For more information on sin 60° and other values of sin, cos, and tan, visit ‘s website and get practice questions, solutions, and more!