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Period and Amplitude of Basic Trig Functions

A  B 
Amplitude of y=sin x  1 
Amplitude of y=cos x  1 
Period of y=sin x  2π 
Period of y=cos x  2π 
Period of y=tan x  π 
Period of y=cot x  π 
Period of y=sec x  2π 
Period of y=csc x  2π 
Domain of y=sin x  All Real Numbers 
Range of y=sin x  1≤y≤1 
Domain of y=cos x  All Real Numbers 
Range of y=cos x  1≤y≤1 
Domain of y=tan x  All x≠π/2 + nπ 
Range of y=tan x  All Real Numbers 
Domain of y=cot x  All x≠nπ 
Range of y=cot x  All Real numbers 
Domain of y=sec x  All x≠π/2 + nπ 
Range of y=sec x  y≤1, y≥1 
Domain of y=csc x  All x≠nπ 
Range of y=csc x  y≤1, y≥1 
Where do you find the amplitude of sin or cos functions?  Absolute Value of the Coefficient of the sin or cos 
How do you find the period of sin or cosine?  2π / coefficient of x 
How do you find the period of tan or cot  π / coefficient of x 
How do you find the period of sec or csc  2π / coefficient of x 





PreCalculus/AP Calculus Teacher 
Academy Park High School 





 