As the angle θ increases to 90° the value of tan (θ)

A. decreases rapidly.

B. approaches + 1.

C. increases rapidly.

D. approaches - 1.

C. increases rapidly.

Step-by-step explanation:

tan (θ) = sin (θ) / cos (θ)

Now, when sin 90 = 1

and cos 90 = 0

so, tan (90) = 1/0 = not defined.

(1/0 is infinity and its value is not defined)

So, when angle θ increases to 90°, then the value of tan (θ) increases rapidly, as shown in the figure below.