Prove the following identities, where the angles involved are acute angles for which the expressions are defined: v , using the identity vi vii viii ix x Ans. The decimal number represented by the point C is 2. There is one-tenth in it. Determine the values of sin P, cos P and tan P. Chapter 8 — Decimals — Exercise — 8. Find her speed of rowing in still water and the speed of the current.
What will be its length in cm? You can read and download to get a better understanding of all topics and concepts. Find the speed of the train and the bus separately. B and D both are equidistant from A and C. Hence, the given statement is false. This chapter will help the students to strengthen their foundation on Decimals to deal with further complex topics meritoriously. All Decimals Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks.
The chapter begins with revising the concept of decimals through a word problem and gradually plunges into complex operations with decimals. Students will also learn to establish some of the trigonometric identities and solve some specific angles from 0° to 90°. Write the following decimals in the place value table. Between which two whole numbers on the number line are the given numbers lie? Determine: i sin A, cos A ii sin C, cos C Solution: Question 2. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. Express its length in cm. This chapter has a total of four exercises comprising of various questions mainly on nding trigonometric ratios of the sides of a right triangle with respect to the acute angles of that triangle, called trigonometric ratios.
Express the following as cm using decimals. There are 2-tenths in it. Vertices A, B and C are joined to vertices D, E and F respectively see figure. All Exercise Questions with Solutions are developed to help you in revising complete Syllabus and Score More marks. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. Write the following decimals as fractions.
In Figure, find tan P — cot R. Pictorial representation and graphical representation makes the chapter more interactive and clears the concepts in a better and comprehensive manner. Write the other trigonometric ratios of A in terms of Ans. A and C both are equidistant from B and D. From equation 1 , we obtain By using the converse of B. Write the following as numbers in the given table.
Write each of the following as decimals: a Seven-tenths b Two tens and nine-tenths c Fourteen point six d One hundred and two ones e Six hundred point eight Solution. The whole number 5 is nearer the number 4. Hence, the given statement is false. Hence, the given statement is true. With an in-depth study of this chapter and solving of the problems will help the students to solve complex problems easily. Write each of the following as decimals : a Seven-tenths b Two tens and nine-tenths c Fourteen point six d One hundred and two ones e Six hundred point eight 4.
Between which two whole numbers on the number line are the given numbers lie? The whole number 3 is nearer the number 2. Formulate the following problems as a part of equations, and hence find their solutions. Express the trigonometric ratios and in terms of Ans. Answer : i ii iii. Register for our free webinar class with best mathematics tutor in India. Which of these whole numbers is nearer the number? As and , Hence, the given statement is false. Write each of the following as decimals: a b 3 + c 200+60+5+ d 70+ e 4 g h i j 3 k 4 Solution.
Answer : We know that, will always be positive as we are adding two positive quantities. What will be its length in cm? If you have any query regarding. Introduction to Decimals, Tenths, Hundredths, Comparing Decimals, Using Decimals, Money, Length, Weight, Addition of Numbers with Decimals and Subtraction of Decimals are the main topics discussed in this chapter. In given figure, find tan P — cot R. . Show the following numbers on the number line.