With the help of tables, find the values, correct to places of decimals, of each of the following :
`cos280^(@)10'`

Answer

To find the value of \( \cos(280^\circ 10') \) using trigonometric tables, we can follow these steps:

### Step 1: Convert minutes to degrees
The angle is given in degrees and minutes. We need to convert the minutes into degrees.

\[ 10' = \frac{10}{60} = 0.1667^\circ \quad (\text{approximately}) \]

### Step 2: Add the converted minutes to the degrees
Now we add this value to the degrees:

\[ 280^\circ + 0.1667^\circ = 280.1667^\circ \]

### Step 3: Round the value to two decimal places
For practical purposes, we can round \( 280.1667^\circ \) to two decimal places:

\[ 280.17^\circ \]

### Step 4: Use the trigonometric table to find \( \cos(280.17^\circ) \)
Now, we will look up the value of \( \cos(280.17^\circ) \) in the trigonometric tables.

From the table, we find:

\[ \cos(280.17^\circ) \approx 0.1765 \]

### Final Answer
Thus, the value of \( \cos(280^\circ 10') \) is approximately:

\[ \boxed{0.1765} \]

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