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
#SPJ1
Answer:
12
Step-by-step explanation:
First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.
Sin 53 degrees = opposite side / hypotenuse side.
The opposite side is x and the hypotenuse side equals 15.
sin53= x/15
15 ( sin 53 ) =x
x= 11.97953
Round
x=12
Answer:
Step-by-step explanation:
40 X 4 = 7 X50
160miles = 350miles
Y=.25x +700 ; 200 miles
I think the inequality is right