The value of cos39°44' - cos25°38' is .

-

0.2225

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0.1545

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-

0.1131

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Solution

The correct option is A $-$ 0.2225
We can write,
39°44' = 39°42' + 2'
From the table we have, cos39°42' = 0.6794
Mean difference for 2′ = 4 (Mean difference to be subtracted for cosine)
cos39°42' = 0.6794
2′ = - 4

cos39°44' = 0.6790 ... (i)

We can write,
25°38' = 25°36' + 2'
From the table we have, cos25°36' = 0.9018
Mean difference for 2′ = 3 (Mean difference to be subtracted for cosine)
cos25°36' = 0.9018
2′ = -3

cos25°38' = 0.9015 ... (ii)

From equations (i) and (ii), we get
cos39°44' - cos25°38' = 0.6790 - 0.9015 = - 0.2225

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