Complete the following chart
y=cosx y=-cosx y=cos(-x)
domain
range
amplitude
period
x-intercept
y-intercept
Thank you!
You should be able to do the domain and range of these functions easily.
Otherwise
$\displaystyle y = A~cos(kx)$
is the (almost) most general form for the cosine function, where A is the amplitude. The period P of this function can be obtained by setting x = P:
$\displaystyle kP = 2 \pi \implies P = \frac{2 \pi}{k}$
The x intercept(s) should also be fairly easy. For what x values does cos(x) become 0?
For the y intercept simply input x = 0 into your equation.
-Dan
Please find exact value
$\displaystyle tan \frac{19\pi}{12} $
The correct answer is $\displaystyle -2-{\sqrt 3}$
$\displaystyle tan \frac{19\pi}{12} $
-tan 75=-tan (45 +30)=-$\displaystyle \frac{3+\sqrt 3}{3-\sqrt 3}$
What am I doing wrong?
Thank you