Select the correct answer from each drop-down menu. Angle θ lies in the second quadrant, and sin θ = .​

Question

Select the correct answer from each drop-down menu.
Angle θ lies in the second quadrant, and sin θ = .​

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1 week 2021-11-25T20:52:38+00:00 2 Answers 0 views 0

Answers ( )

  1. Charlotte
    0
    2021-11-25T20:54:20+00:00

    Answer:

    Cos θ  = -4/5

    Tan θ = -3/4

    Step-by-step explanation:

    edmentum

    0
    2021-11-25T20:54:31+00:00

    Answer:

    Cos θ  = -4/5

    Tan θ = -3/4

    Step-by-step explanation:

    The question is as following:

    Select the correct answer from each drop-down menu.

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

    cos θ = -4/5, -3/5, 3/5, 4/5

    tan θ = -4/3, -3/4, 3/4, 4/3

    ==================================================

    Since, the angle lies in second quadrant (negative x axis and positive y axis) we can deduce that cos θ is negative and tan θ is also negative.

    If sin θ =3/5

    cos \  \theta =\sqrt{1-sin^2 \theta} = \sqrt{1-(\frac{3}{5} )^2} =\sqrt{1-\frac{9}{25} }=\sqrt{\frac{16}{25} } =\frac{4}{5}

    ∴ Cos θ = -4/5 ⇒ because θ lies in the second quadrant.

    And

    Tan θ = (sin θ)/(cos θ) = (3/5) / (-4/5) = -3/4.

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45:7+7-4:2-5:5*4+35:2 =? ( )