Question

Given sin45° = 0.7071, sin50° = 0.7660, sin55° = 0.8192,

sin 60 0.8660 ° = , find sin 52° , by using any method of

interpolation.​

Answer 1

Given  :    sin45° = 0.7071, sin50° = 0.7660, sin55° = 0.8192,

To find  :  sin 52° , by using any method of  interpolation.​

Solution:

Draw the given data as scatter plot on graph

x        y

45 0.7071

50 0.766

55 0.8192

60 0.866

 

Find line of best fit :  

y = 0.015x  

Substitute  x = 52

y =  0.015(52)

=> y = 0.78

Sin 52° = 0.78

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