Sign up to access problem solutions.

Already have an account? Log in here.

Plot the six different trig functions, discover their illuminating interactions, and ride the wave!

\[\large \color{orangered}{f(x)=\sin^6x+\cos^6x+\sin^4x \cos^2x + \cos^4x \sin^2x}\]
Find the fundamental period of the function \(\color{orangered}{f(x)}\).

Sign up to access problem solutions.

Already have an account? Log in here.

Over the entire real line, the number of values of x where the function

\[ f(x) = \cos x + \cos ( \sqrt{2}x ) \] attains its maximum value is:

Sign up to access problem solutions.

Already have an account? Log in here.

\[ \large \begin{cases}{y=\sin (x)} \\ {y=\cos (x)} \\ {y=\tan (x)} \\ {y=\csc (x)}\end{cases} \]

The four graphs above are drawn on the same axes from \(x = 0 \) to \(x = \frac \pi2 \).

If a vertical line is drawn where the graphs of \(y=\cos (x) \) and \(y = \tan (x)\) intersect, this line intersects the graphs of \(y=\sin(x)\) and \(y=\csc(x)\) at points \(A\) and \(B\). What is the distance between \(A\) and \(B\)?

Sign up to access problem solutions.

Already have an account? Log in here.

How many real numbers \(x\) satisfy \(\sin x = \frac{x}{100}?\)

Sign up to access problem solutions.

Already have an account? Log in here.

Sign up to access problem solutions.

Already have an account? Log in here.

×

Problem Loading...

Note Loading...

Set Loading...