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A student says that sin⁻¹x is just another way… · Answer | StemPy Lab
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A student says that sin⁻¹x is just another way to write cosec x. Which statement is correct?
Mathematics
Easy
High School (11–12)
Trigonometry › Inverse Trigonometric Functions
Board Exam
Created by
StemPy Lab
A student says that
sin
−
1
x
\sin^{-1}x
sin
−
1
x
is just another way to write
cosec
x
\operatorname{cosec} x
cosec
x
. Which statement is correct?
sin
−
1
x
\sin^{-1}x
sin
−
1
x
is an angle whose sine is
x
x
x
, and
cosec
x
\operatorname{cosec} x
cosec
x
is
1
sin
x
\dfrac{1}{\sin x}
sin
x
1
sin
−
1
x
\sin^{-1}x
sin
−
1
x
and
cosec
x
\operatorname{cosec} x
cosec
x
are both equal to
1
sin
x
\dfrac{1}{\sin x}
sin
x
1
sin
−
1
x
\sin^{-1}x
sin
−
1
x
is defined for every real number
x
x
x
sin
−
1
x
\sin^{-1}x
sin
−
1
x
is the angle whose cosine is
x
x
x
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