The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin, cos, and t

Question

The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin, cos, and tan for this angle.

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Nevaeh 3 months 2021-10-19T23:07:59+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-19T23:09:43+00:00

    Answer:

    The answer to your question is below

    Step-by-step explanation:

    Data

    A (4 , -3)

    r = ?

    sin = ?

    cos = ?

    tan = ?

    Process

    1.- Plot the point

    This point is in the fourth quadrangle

    2.- Calculate r

    We have the Opposite side and the Adjacent side

           tan Ф = -3/4

           tan⁻¹ Ф = Ф = 323.1

            Ф = 323.1°

    3.- sinФ =

    Calculate the hypotenuse

            c² = 4² + (-3)²

            c² = 16 + 9

            c² = 25

            c = 5

     sinФ = -3/5

    cos Ф = 4/5

    tan Ф = -3/4

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