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12 April, 05:13

Find the exact value of tan (theta) for an angle (theta) with sec (theta) = 3 and with its terminal side in Quadrant I.

a. 1/3

b. 1/sqrt (8)

c. 2*sqrt (2)

d. 2

+1
Answers (1)
  1. 12 April, 08:25
    0
    c

    Step-by-step explanation:

    1 + tan²theta = sec²theta

    tan²theta = 3² - 1

    tan²theta = 8

    tan theta = sqrt (8)

    Positive because Quadrant 1

    sqrt (8) = sqrt (4*2) = sqrt (4) * sqrt (2)

    = 2*sqrt (2)
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