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

Answer 1

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

#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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Answer 2

James Adkins

The amplitude of the function ( y = 3 \sec(\theta) ) is undefined because the secant function has no maximum or minimum values within its period.

The period of the function ( y = 3 \sec(\theta) ) is ( 2\pi ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.