Evaluate each of the following:

cosec
can be written as cosec![]()
cosec
= –cosec![]()
Also,
–cosec(θ) = cosec(–θ)
⇒ –cosec
= cosec![]()
Now the question becomes cosec–1(cosec
)
cosec–1(cosec x) = x
Provided x ϵ
–{0}
∴ we can write cosec–1(cosec
.
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