Find the value of sin 35° 22'
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Answer:
sin 35° ≈ 1/2 + (22/7)(1/36)(1/2)(7/4) = 1/2 + 11/144 = 83/144, This differs from the true value by less 1%.
Step-by-step explanation:
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To find the value of sin35
∘
22’,
We read the table of natural sines in the horizontal line which begins with 35°
In the vertical column headed by 22’ i.e. 22’ - 18’ = 4’ in the difference column, the value of 4’ in mean difference column is 10.
Then, the value that we find in the vertical column is 0.5779
Now adding the value of 18’ and 4’ = 0.5779 + 10= 0.5789
Therefore, the value of sin 35° 22’ is obtained as under,
sin35°22’ = 0.5779 . » [from table]
Mean difference for 4’ = 10 . » {to be added]
Then, sin38°22’ = 0.5789
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