**MACHINE SHOP CALCULATION - OD1640 - LESSON 2/TASK 3**

(c) Locate the proper column for the function (sine, cosine, tangent, or

cotangent), using the headings at the top.

(d) Find the value of the function in this column at a point directly

across from the given number of minutes.

EXAMPLE

Find the sine of 43,, 30'; that is, sin 43,, 30' = ?

SOLUTION

Since this angle is between 0,, and 45,,, the degree heading as well as the

function will be found at the top of the page.

Use the left-hand minute

column and follow down to the value of 30'. The first column of functions

is used because the required function is the sine.

Thus, in the "sine"

column 6 at a point across from 30', we find that sin 43,, 30' = .68835.

EXAMPLE

Find the cosine of 43,, 59'; that is cos 43,, 59' = ?

SOLUTION

For angles between 0,, and 45,,, the value of the cosine is found in the

column headed "cosine." The "minute" column is followed down to 59', and

then in the "cosine" column, at a point across from 59', we find that cos

43,, 59' = .71954.

EXAMPLE

Find the tangent of 44,, 10'; that is, tan 44,, 10' = ?

SOLUTION

For angles between 0,, and 45,,, the value of the tangent is found in the

column headed "tangent. " The "minute" column is followed down to 10', and

then in the "tangent" column, at a point across from 10', we find that tan

44,, 10' = .97133.

**61**