Find the principal values of each of the following:
cosec–1(–2)
cosec–1–2 = y
⇒ cosec y = –2
⇒ –cosec y = 2
⇒ –cosec 
= 2
As we know cosec(–θ) = –cosecθ
∴ –cosec 
= cosec 
The range of principal value of cosec–1 is 
–{0} and
cosec 
= –2
Therefore, the principal value of cosec–1(–2) is 
.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
