Question

when the angle of a triangle are measured in the sexagesimal system, their magnitute are in the ratio 2 :3: 4​

Answer 1

Answer:

Step-by-step explanation:

In case of trigonometry, angles may be positive or negative and of any magnitude.  

 

 

*            Positive Angles

When we measure an angle in anti-clock wise direction it is always positive.

 

 

*            Negative Angles

If an angle measures in anti-clock wise direction then it is said to be negative angle.

 

 

*            Different Units of Measurement of an Angle

There are three system for measurement of an angle.

1. British System (Sexagesimal System)

2. French System (Centesimal System)

3. Circular Measure or Radian System  

 

British System

It is also known as sexagesimal system. In this system a right angle is divided into 90 equal parts is called degrees.                

1rightangle = 90 ∘  

1∘ = 60 ′  

1 ′  = 60''  

In the above, degree is divided into 60 equal parts known as minutes, and each minute is divided into 60 equal parts known as seconds.  

 

Centesimal System

In this system a right angle is divided into 100 equal parts and each part is known as grade.

1rightangle = 100g

1g = 100 ′  

1′ = 100''

 

Radian System

1 radian is defined as an angle which subtend at the centre of a circle by an arc whose length is equal to the length of radius.