**Demonstrations of Reflections in Math


Graph of tangent

How equation of tangent relates to graph

Trigonometry | graph and eqquation of sine
When two trigonometric graphs such as sine and cosine intersect, we call that point of intersection a solution of the system of equations. This is the same meaning that solutions of systems of linear equations has.

Solutions of Systems of Sine and Cosine graphs



Pictured below is a system made up of the equation y = sin(x) and y = cos(x) over the interval 0≤X≤2Π
Solutions of the system


Picture of graph of system of sine and cosine equations
Can you figure out how many, if any, solutions there are for the following system of trigonometric equations has any solutions over the interval 0≤X≤2Π
The system of equations
  • y = sin(x) − 1
  • y = cos(x) + 1
    • Solutions of the system
    Can you figure out how many, if any, solutions there are for the following system of trigonometric equations has any solutions over the interval 0 ≤ X ≤ Π
    The system of equations
  • y = sin(2x)
  • y = cos(x)
    • Show solutions
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