NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.1

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NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.1 is provided in this article. Class 10 Maths Chapter 8 Introduction to Trigonometry covers important concepts like trigonometric ratios, trigonometry table, trigonometric identities and formulas. Chapter 8 exercise 8.1 includes questions based on trigonometric ratios.

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CBSE X Related Questions

1.

The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :

Length (in mm)

Number of leaves

118 - 126

3

127 - 135 

5

136 - 144

9

145 - 153

12

154 - 162

5

163 - 171

4

172 - 180

2

Find the median length of the leaves. 
(Hint : The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to 117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5.)

      2.
      A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

          3.
          Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: (i) \(x + y = 5\),\( 2x + 2y = 10\) (ii)\( x – y = 8 , 3x – 3y = 16\) (iii) \(2x + y – 6 = 0\) , \(4x – 2y – 4 = 0\) (iv) \(2x – 2y – 2 = 0,\) \( 4x – 4y – 5 = 0\)

              4.
              If 3 cot A = 4, check whether \(\frac{(1-\text{tan}^2 A)}{(1+\text{tan}^2 A)}\) = cos2 A – sinA or not

                  5.

                  The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them

                  Monthly consumption 
                  (in units)

                   Number of consumers

                  65 - 85 

                  4

                  85 - 105

                  5

                  105 - 125

                  13

                  125 - 145

                  20

                  145 - 165

                  14

                  165 - 185

                  8

                  185 - 205

                  4

                      6.
                      An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella.
                      An umbrella has 8 ribs which are equally spaced

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