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  • John Rhodes
  • June 21, 2023
  • Calculus

Master cofunction identities: Simplify Trigonometric Expressions using Complementary Angles

cofunction identities sin (π/2 – θ) = cosθcos (π/2-θ) = sinθtan (π/2-θ) = cotθcot (π/2-θ) = tanθsec (π/2-θ) = cscθcsc (π/2-θ) = secθ Cofunction identities are a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Unlocking the Secrets of the Unit Circle: How to Find Missing Coordinates Using Trigonometry

missing coordinate on unit circle x² + y² = 1 The unit circle is a circle with a radius of one, centered at the origin of a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Sine and Cosine Functions Periodicity in Mathematics

periodic property of sin and cosine because the period of the sin/cos function is 2pi, you can add 2pi to sin(-value) to make it positive The sine...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Odd Functions in Mathematics: Definition, Examples, and Properties

odd function f(-x) = f(x), symmetric about the origin, sin, cos, sec In mathematics, an odd function is a function that satisfies the property: f(-x) = -f(x)...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Even Functions and Their Properties in Mathematics

even function f(-x) = -f(x), symmetric about the y-axis, tan, cot, csc An even function is a function in mathematics that is symmetric about the y-axis. In...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Linear Functions: Definition, Formula and Applications

Linear Function f(x)=x A linear function is a mathematical function that has a constant rate of change. In other words, the graph of a linear function is...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Power of Absolute Value Function: Understanding its Properties and Applications in Calculus and Linear Algebra

Absolute Value Function f(x)=|x| The absolute value function is a mathematical function that returns the absolute value of a number, which is its distance from zero on...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Cubic Functions: An Overview of Polynomials, Graphs, and Applications

Cubic Function f(x)=x^3 A cubic function is a function of the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d...
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