Expres a reflection about the vertical axis and a dilation with a scale factor of 6 in matrix notation. prove that it
produces the desired reflection by using matrix multiplication

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Ответ:

felicianorman97

26.07.2020

Mathematics

cos q = $\frac{3}{5}$

Step-by-step explanation:

Given:

Coordinate that lies on the terminal side = (3,-4)

q is angle in standard position

To Find:

cos q

Solution:

Form the given points we can figure out a triangle

Thus in a triangle

$Cos = \frac{Adjacent}{hypotenuse}$

Here the Adjacent side is 3 units

Opposite side is -4 units

Now the hypotenuse is

= $\sqrt{3^2 +(-4)^2$

= $\sqrt {9 +16}$

= $\sqrt{25}$

= 5 units

Thus cos q = $\frac{3}{5}$

Find cos q if q is an angle in standard position and the point with coordinates (3,-4) lies on the t

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Expres a reflection about the vertical axis and a dilation with a scale factor of 6 in matrix notation. prove that it produces the desired reflection by using matrix multiplication