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Gnesinka [82]
3 years ago
11

Cos(2x) + sin^2(x) = 0

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0

Half-angle identity:

cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0

Simplify:

2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0

cos(2<em>θ</em>) = -1

Solve for <em>θ</em> :

2<em>θ</em> = arccos(-1) + 2<em>nπ</em>

2<em>θ</em> = <em>π</em> + 2<em>nπ</em>

<em>θ</em> = <em>π</em>/2 + <em>nπ</em>

where <em>n</em> is any integer.

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BigorU [14]

Answer:

\displaystyle m = \frac{-5}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Coordinate Planes

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Slope Formula:                                                                                                          \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points</em>

Point (0, 2)

Point (3, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

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