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Question

How to find the value of sin, cos, tan of degrees like 23°,56°33', 63°?

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Solution

We can observe that the table of natural sines and natural cosines are generally divided into the following parts. They are the following:

(i) In the extreme left vertical column of the table the angles are from 0° to 90° at intervals of 1°.

(b) In another vertical column about the middle of the table the angles are from 89° to 0° at intervals of 1°.

(ii) In the horizontal row at the top of the table the angles are from 0' to 60' at intervals of 10'.

(iii) In the horizontal row at the bottom of the table the angles are from 60' to 0' at intervals of 10'.

(iv) In the horizontal row at the extreme right of the table the angles are from 1' to 9' at intervals of 1'. This part of the table is known as Mean Difference Column.

3. Using the trigonometric table, find the value of sin 62°30’

Solution:

To find the value of sin 62°30' 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°.

Then we move horizontally to the right at the top of the column headed by 30' and read the figure 0.88701, which is the require value of sin 62°30'.

Therefore, sin 62°30' = 0.88701


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