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17 November, 01:09

Give sin x = 3/5 and x is in qudrant 2, what is the value of tanx/2?

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  1. 17 November, 03:59
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    tan x/2 = 3.

    Step-by-step explanation:

    The adjacent side in the second quadrant of the unit circle = - sqrt (5^2 - 3 ^2)

    = - 4, so cos x = - 4/5.

    Using the formula tan x/2 = sin x / (1 + cos x) we have

    tan x/2 = 3/5 / (1 - 4/5)

    = 3/5 / 1/5

    = 3 (answer).
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