Geometry

Graphs of Trigonometric Functions

Graphs of Trigonometric Functions: Level 2 Challenges

         

Which of the following could be the function graphed above?

What is the amplitude of the graph of f(x)=sin(x+π3)+cos(x+π6)?\Large f(x) = \sin\left(x + \frac{\pi}{3}\right) + \cos\left(x+\frac{\pi}{6}\right)?

Given the graph above of y=Asin(x)+Bcos(x)y = \color{#D61F06}{A}\sin(x)+\color{#3D99F6}{B}\cos(x) for integers A\color{#D61F06}{A} and B,\color{#3D99F6}{B}, find AB.\color{#D61F06}{A}-\color{#3D99F6}{B}.

g(x)=cosx+sinx\large \color{#69047E}{g(x)=\cos|x|+\sin|x|}

Find the fundamental period of the function g(x)\color{#69047E}{g(x)}.

Find the fundamental period of the function f(x)=sin(36x)f(x) =\sin(36x) .

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