Suppose cos(a)=.325
use the trig identity sin^2(a)+cos^2(a)=1
and the trig identity tan(a)=sin(a)/cos(a)
to find tan (a) in quad IV
Round to the nearest ten thousandths.

The value of tan a is 2.9098

Explanation:

The given value is

Now, we shall find the value of sin (a), using the identity,

Substituting the value of cos (a), we get,

Subtracting both sides by 0.1056, we have,

Taking square root on both sides, we get,

Now, we shall substitute the value of sin (a) and cos (a) to determine the value of tan (a) in the identity

Thus, the value of tan (a) is 2.9098

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

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