Trigonometric Limits - California State University, Northridge
Trigonometric Limits
more examples of limits
Substitution Theorem for Trigonometric Functions
laws for evaluating limits
Theorem A. For each point c in function's domain:
lim sin x = sin c,
xc
lim tan x = tan c,
xc
lim csc x = csc c,
xc
lim cos x = cos c,
xc
lim cot x = cot c,
xc
lim sec x = sec c.
xc
Theorem A. For each point c in function's domain:
lim sin x = sin c,
xc
lim tan x = tan c,
xc
lim csc x = csc c,
xc
lim cos x = cos c,
xc
lim cot x = cot c,
xc
lim sec x = sec c.
xc
Proof. Prove first that
lim sin x = 0,
x0
lim cos x = 1.
x0
Is it obvious? lim sin x = 0,
x0
lim cos x = 1.
x0
y=sin(x)
y=cos(x)
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