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22 December, 14:29

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

A. decreases rapidly.

B. approaches + 1.

C. increases rapidly.

D. approaches - 1.

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Answers (1)
  1. 22 December, 17:45
    0
    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.
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