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5 July, 03:17

Angle θ lies in the second quadrant, and sin θ = 3/5.

cos θ =

tan θ =

+4
Answers (1)
  1. 5 July, 04:10
    0
    The answer is

    sin θ = 3/5

    we know that

    sin ² θ + cos² θ = 1, so cos² θ=1 - sin ² θ

    and then cos θ=sqrt (1 - sin ² θ)

    sin θ = 3/5 implies sin ² θ = (3/5) ²=9/25

    cos θ=sqrt (1 - 9/25) = cos θ=sqrt (16/25) = 4/5

    cos θ=4/5

    and

    tan θ = sin θ / cos θ = (3/5) / (4/5) = 3/4

    finally

    sin θ = 3/5

    cos θ=4/5

    tan θ = 3/4
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