tan θ1 = 1.0000

54.

tan θ2 = 1.0000

, turn to the trig tables. Tan θ in the preceding

55.

To find the number of degrees in

frame is 1.0000. Go down the column marked TAN until the tangent value is found.

Opposite this value, in the column marked DEG, you will find the number of degrees in

An angle less than 45 always has a tangent function less than 1; an angle

NOTE:

greater than 45 always has a tangent function greater than 1.

When tan θ = 1.0000,

= _______ .

55.

Solution

56.

You must be very, VERY careful when looking up numbers on the Table of Natural

Functions. Here's why: You have a sin θ = .7133; therefore,

= 45.5. But suppose

cos θ = .7133;

= _______ . If tan 0 = .7133,

= _______.

44.5,

35.5

57a. You can see what would happen if you were looking for

56.

when the sin θ = .7133 and you happened to look in the wrong

column.

You can also make trouble for yourself by not going to the nearest half-degree when

the exact function value is not shown in the table. For example: cos θ = .6657; therefore,

= 48.5 instead of 48.0 because .6657 is closer to cosine of 48.5 than to the cosine of 48.0.

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