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19 June, 11:10

Inside a toy truck, there is a gear that rotates to (3, - 8) when the steering wheel is turned to the left. What is the sine value of this function?

A. 3 square root of 73 over 73

B. negative 8 square root of 73 over 73

C. 3

D. - 8

+3
Answers (1)
  1. 19 June, 11:12
    0
    This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows;

    Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows;

    The side length will be 8 units since the y-coordinate is - 8

    The side width will be 3 units since the x - coordinate is 3

    c^2=a^2+b^2

    c^2 = (3) ^2 + (-8) ^2

    c^2=9+64

    c^2=73

    c=sqrt (73)

    Therefore the sine value will be:

    sin x=3/sqrt (73)

    multiply both numerator and denominator by sqrt (73) we get:

    sin x = (3√73) / 73

    Therefore the answer is A]
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