If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

Question

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

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Peyton 2 weeks 2022-01-07T18:04:20+00:00 1 Answer 0 views 0

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    2022-01-07T18:06:06+00:00

    Answer:

    Correct answer: sin 2Θ = – 24/25

    Step-by-step explanation:

    If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

    if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

    sin Θ = 4/5 and cos Θ = – 3/5

    we know that the formula for double the value of the angle is:

    sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( – 3/5) = – 24/25

    sin 2Θ = – 24/25

    God is with you!!!

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