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WOLFRAM|DEMONSTRATIONS PROJECT

Algebraic Values of Trigonometric Functions of Inverse Trigonometric Functions

​
f
Sin
g
ArcSin
n
m
scale results
sin(12
-1
sin
(12x))-144x(24x-1)(24x+1)(1-192
2
x
)
1-144
2
x
1-144
2
x
-12x
1-144
2
x
+12x1-48x
1-144
2
x
48
1-144
2
x
x+1
This Demonstration generates expressions of the form
f(ng(mx))
where
f
is a trigonometric function,
g
is an inverse trigonometric function, and
m
and
n
are integers can be expressed as algebraic, or even sometimes rational functions of
x
.
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