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Edited By Ramraj Saini | Updated on Mar 19, 2022 12:34 PM IST

The NCERT Class 10 Maths chapter 9 notes covers an outline of the chapter some application of trigonometry. Trigonometry is used in many ways in the things around us, we can use it for calculating the height and distance of some objects without actually measuring them.

When looking at some object then the line made by our vision to the object is the Line of Sight.

It is a distance between the observer and the object.

It is the angle made by the line of sight to the top of the object and the horizontal line. It lies above the horizontal line that is the angle of elevation made when looking up to the object.

It is made when the observer needs to look down to see the object. The angle between the horizontal line and the line of sight is the angle of depression.

**Consider the figure below:**

**Example 1:**

What is the value of sinθ/cosθ?

sinθ/cosθ=(Opposite/Hypotenuse)/(Adjacent/Hypotenuse)=tanθ

Trigonometry ratio table:

Sin A | 0 | 1 | |||

Cos A | 1 | 0 | |||

Tan A | 0 | 1 | Not defined | ||

Cosec A | Not defined | 2 | 1 | ||

Sec A | 1 | 2 | Not defined | ||

Cot A | Not defined | 1 | 0 |

Example 2:

What is the value of cos 60-sin 30?

From the above table:

cos 60=1/2

sin 30=1/2

Then cos 60-sin 30=1/2-1/2=0

Suppose BC = his the height of the transmission tower and the AB be the height of the building and AD is the distance between the building and the observer point (D).We have,AB = 20 m, BC = hm and AD = xm

According to the question,

In triangle BDA,

x = 20 m

Again,

In triangle CAD,

Answer- the height of the tower is 14.64 m

Some Applications of Trigonometry class 10th notes will help to understand the formulas, statements, rules in detail. This NCERT Class 10 Maths chapter 9 notes also contains previous year’s questions and NCERT TextBook pdf. It also contains FAQ or frequently asked questions along with topic-wise explanations. In offline mode, Class 10 Maths chapter 9 notes pdf download can be used to prepare.

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1. How many trigonometric ratios are there according to Class 10 Math’s chapter 9 notes?

There are 6 trigonometric ratios. They are, sine, cosine, tangent, cotangent, secant, cosecant.

2. What is the weightage of Class 10 some application of trigonometry in the board exam?

Students can expect 4 to 5 marks questions from the notes for Class 10 Math’s chapter 9.

3. What is the Angle of Depression ?

It is made when the observer needs to look down to see the object. The angle between the horizontal line and the line of sight is the angle of depression. You can find this in some application of trigonometry class 10 notes pdf download.

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