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  • John Rhodes
  • July 31, 2023
  • Trigonometry

Understanding the Sine Function | Exploring the Value of sin(45°) in Trigonometry

sin45 In trigonometry, the sine function (sin) represents a ratio between the length of the side opposite to an angle in a right triangle and the hypotenuse...
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  • John Rhodes
  • July 31, 2023
  • Trigonometry

Understanding the Tangent of 45 Degrees | Definition, Calculation, and Value

tan45 The tangent of 45 degrees, denoted as tan(45), is the mathematical function that gives the ratio of the length of the side opposite to the angle...
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  • John Rhodes
  • July 31, 2023
  • Trigonometry

How to Simplify the Expression √3/2 | Step-by-Step Guide and Rationalization

√3/2 To simplify the expression √3/2, we can start by rationalizing the denominator To simplify the expression √3/2, we can start by rationalizing the denominator. Rationalizing the...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Finding X-Intercepts of a Quadratic Function | Step-by-Step Guide and Explanation

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?(-4, 0)(-2, 0)(0, 2)(4, -2) To find the x-intercepts of a quadratic...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Finding the Vertex of a Quadratic Function | Step-by-Step Guide with Example

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?(,) To find the vertex of a quadratic function in the form of...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Determining the Function with a Vertex at (2, -9) | Math Content and Analysis

Which function has a vertex at (2, -9)?f(x) = -(x – 3)2f(x) = (x + 8)2f(x) = (x – 5)(x + 1)f(x) = -(x – 1)(x –...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding the Relationship Between Vertex and Roots | Writing a Quadratic Function in Factored Form

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots. To write...
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  • John Rhodes
  • July 31, 2023
  • Geometry

Understanding Congruence in Mathematics | Exploring Shape, Size, and Relationships of Geometric Figures

Congruent In mathematics, congruent refers to objects or figures that have the same shape and size In mathematics, congruent refers to objects or figures that have the...
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