Write each of the following in the simplest form:

Let us assume x = a secθ
θ = sec–1
…(1)
∴ we can write
Cot–1![]()
= Cot–1![]()
= Cot–1![]()
= Cot–1![]()
= Cot–1![]()
= cot–1(cotθ )
= θ.
From 1 we get the given equation simplification to sec–1
.
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