How do you find the amplitude and period of #y=3sectheta#?

1 Answer
Rachel
Feb 25, 2017

Amp: #3#.
Period: #pi#.

Explanation:

#y=color(green)(3)sec color(red)(1)theta#
#color(green)(Amp)#: There aren't amplitudes for secants or cosecants, but the closest thing is #3#. Amplitude only applies for sin and cos.

#color(red)(Period)#: To find the period for sec and csc, we divide the leading coefficient of #theta#, which in this case is #1#, by #pi#, which gives us #pi/1# or #pi#.

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