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NCERT Solutions for Class 10 Math Chapter 8 - Introduction To Trigonometry

Let us take some ncert solutions class 10th introduction to trigonometry import from our surroundings where right triangles can be imagined to be formed. For instance : Suppose the students of a school are visiting Qutub Minar. Now, if a student is looking at the top of the Minar, a right triangle can be imagined to iintroduction made, as shown in Fig 8.

Can the student find out the height of Ncert Solutions Class 10th Introduction To Trigonometry Service the Minar, without actually measuring it? Suppose a girl is sitting on the balcony of her house located on the bank of a river. She is looking down at a flower pot placed on a stair of a temple situated nearby on the other bank of the river. A right triangle is imagined to be made in this situation as shown in Fig.

If you know the height at which the person is sitting, can you find the width of the river?. Ncert solutions class 10th introduction to trigonometry import a hot air balloon is trigoonometry in the air. A girl happens to spot the balloon in the sky and runs to her mother to tell her about it. Ncert solutions class 10th introduction to trigonometry import mother rushes out of the house intgoduction look at the balloon.

Now when the girl had spotted the balloon intially it was at point A. When both the mother and daughter came out to see it, it had already travelled to another point B. Can you find the altitude of B from the ground? In fact, trigonometry is the study solutons relationships between the sides and angles of a triangle. The earliest known work on trigonometry was recorded in Egypt and Babylon.

Early astronomers used it to find out the distances of the stars and planets from the Earth. Even today, most of the technologically advanced methods used in Introductiin and Physical Sciences are based on trigonometrical concepts.

In this chapter, we will study some ratios of the sides of a right triangle with respect to its acute angles, called trigonometric ratios of the angle. We will restrict our discussion to acute angles. However, these ratios can introductioj extended to other angles. We will calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities. Ncert solution class 10 Mathematics includes text book solutions from both part 1 and part 2.

Class 10 Mathematics ncert Solutions in pdf for clas Download are given in this website. Create papers in minutes. Work from home with us Create questions or review them from home No software required, no contract to sign. Simply apply as teacher, take eligibility test and start working with us.

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Final:

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An equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle s involved.

Solution: Ex 8. Solution: Class 10 Maths Introduction To Trigonometry Trigonometry Trigonometry is the study of relationships between the sides and angles of a right-angled triangle.

Trigonometric Ratios Trigonometric ratios of an acute angle in a right triangle express the relationship between the angle and the length of its sides. Trigonometric Identities An equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle s involved.

When it comes to Chapter 8 Introduction to Trigonometry the total weightage would be 8 Marks. Exercise 8. Confidence will build up and you will attempt the exam well and score good marks if you practice on a regular basis.

To make it easy for you we tried providing exercise 8. Defining the six rations sine, cosine, tangent, secant. Finding the values of trigonometric rations of a given right angled triangle. Finding the values of trigonometry rations of some standard angles 0, 30, 45, 60 and 90 in degrees. Using complementary angles and applying it into trigonometric identities to prove another identities.

The creator of trigonometry is said to have been the Greek Mathematician Hipparchus of the 2nd century BC. The word Trigonometry which means triangle measurement is credited to Bastholoman Pitiscus Aryabhata used the word Ardha-jya for the half-chord, which was shortened to Jya or Jiva in due course.

When the Aryabhatiyam was translated into Arabic, the word Jiva was retained. The cosine function arose Ncert Solutions Class 10th Introduction To Trigonometry Job from the need to compute the sine of the complementary angle.

Aryabhata called it Kotijya.

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