tan θ1 = 1.0000
tan θ2 = 1.0000
, turn to the trig tables. Tan θ in the preceding
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
greater than 45 always has a tangent function greater than 1.
When tan θ = 1.0000,
= _______ .
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,
57a. You can see what would happen if you were looking for
when the sin θ = .7133 and you happened to look in the wrong
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.
(CONTINUE ON NEXT PAGE)