Question

What is the amplitude of the function F(x) = 3cos x?

3
1.5
6

Answer 1

amplitude =3

Answer 2

amplitude is always positive and it is in front of sin, cos or tan or their inverse

Answer 3

The amplitude should be 3. The amplitude always appears as the coefficient :)

Answer 4

Hi :)
The amplitude is the highest value a trignometric function (either sin or cos) could attain
Here's the general rule
\[\huge y=a\sin(px+q)+b\](sin may be replaced by cos
\[\huge y=\color{blue}{a}\sin(px+q)+b\]This part gives you the amplitude, \(\large |\color{blue}{a}|\)

\[\huge y=a\sin(\color{red}{p}x+q)+b\]This part gives you the period \(\Large T=\frac{2\pi}{\color{red}p}\)


\[\huge y=a\sin(px+\color{green}q)+b\]This part gives you the horizontal shift, or phase shift \(\Large \left| \frac{\color{green}q}{\color{red}{p}}\right|\) units to the right, if \(\Large \frac{\color{green}q}{\color{red}{p}}\) is negative, and to the left if \(\Large \frac{\color{green}q}{\color{red}{p}}\) is positive

\[\huge y=a\sin(px+q)+\color{violet}b\]Finally, this part gives you the vertical shift, \(\large \color{violet}b\) units upward if b is positive and downward if b is negative

Answer 5

@TeenaMathew
tan does not have an amplitude.

Answer 6

oh yeah you're right. thanks for reminding me

Answer 7

^.^