To find the value of sin 62☃0' by the using the table of natural sines we need to go through the extreme left vertical column 0° to 90° and move downwards till we reach the angle 62°. We move horizontally to the left at the bottom of the row above the column 0'Īnd read the figure 0.87462, which is the require value of cos 29°.ģ. Using the trigonometric table, find the value of sin 62☃0’ Go through the vertical column about the middle of the table 89° to 0° and move upwards till we reach angle 29°. Using table of natural cosines, find the value of cos 29°įind the value of cos 29° by the using the table of natural cosines we need to Read the figure 0.81915, which is the require value of sin 55°. We move horizontally to the right at the top of the column headed by 0' and Through the extreme left vertical column 0° to 90° and move downwards till we Using table of natural sines, find the value of sin 55°.įind the value of sin 55° by the using the table of natural sines we need to go Įxamples using the table of natural sines and natural cosines: So, the table is drawn in suchĪ way that we can use the table to find the sin and cosine value of any given angle between 0 ° and 90 °. We know that the sine of any given angle is equal to that of cosine of itsĬomplementary angle. This part of the table is known as Mean Differenceįrom the table we get the sine or cosine value of any given angle correct to In the horizontal row at the extreme right of the table the angles are from 1' In the horizontal row at the bottom of the table the angles are from 60' to 0' In the horizontal row at the top of the table the angles are from 0' to 60' at In another vertical column about the middle of the table the angles are from In the extreme left vertical column of the table the angles are from 0° to 90° You can find more Numerical methods tutorial using MATLAB here.Can observe that the table of natural sines and natural cosines are generallyĭivided into the following parts. If you have any questions regarding bisection method or its MATLAB code, bring them up from the comments. But, this root can be further refined by changing the tolerable error and hence the number of iteration. It is slightly different from the one obtained using MATLAB program. The table shows the entire iteration procedure of bisection method and its MATLAB program: The process is then repeated for the new interval.
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