Answer:
Step-by-step explanation:
Plot the vertices of the rectangle on a coordinate plane (Observe the figure attached where the rectangle is identified as ABCD).
The area of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width.
In order to find the lenght and the width, you can use the formula for calculate the distance between two points:
Knowing the coordinates of the vertices, you get:
Therefore, substituting values into the formula , you get that the area of the rectangle is:
I think it’s the society you grow up in .
By applying <em>trigonometric</em> expressions and <em>algebra</em> properties, the <em>trigonometric</em> equation 1 - cos 12x is equivalent to the <em>trigonometric</em> equation 2 · sin² 6x. (Correct choice: D)
<h3>How to simplify a trigonometric equation</h3>
Herein we have a trigonometric equation which has to be simplified. Simplification procedure consists in applying <em>trigonometric </em>expressions and <em>algebra</em> properties to transform the function from the form f(cos 12x) to the form f(cos 6x). Now we present the solution in detail:
- 1 - cos 12x Given
- 1 - cos² 6x + sin² 6x cos 2x = cos² x - sin² x / (- 1) · a = - a
- 1 - 1 + sin² 6x + sin² 6x cos² x + sin² x = 1 / (- 1) · a = - a
- 2 · sin² 6x Definitions of subtraction and addition / Existence of additive inverse / Modulative property / Result
By applying <em>trigonometric</em> expressions and <em>algebra</em> properties, the <em>trigonometric</em> equation 1 - cos 12x is equivalent to the <em>trigonometric</em> equation 2 · sin² 6x. (Correct choice: D)
To learn more on trigonometric equations: brainly.com/question/23599274
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Answer:
1. 13.65, 136.5, 1365
2. 57.14, 5.714, .5714
Step-by-step explanation: