asked 26.7k views
20 votes
Sec(pi/2 -x) =csc x true or false

asked
User Sqwerty
by
8.2k points

1 Answer

5 votes

Answer:

true

Explanation:

if you rewrite
sec\left((\pi )/(2)\:-x\right) with trigonometric identities:


sec\left((\pi )/(2)\:-x\right)
=(1)/(\sin \left(x\right))


(1)/(\sin \left(x\right))
=\csc \left(x\right)

so, yes,
sec\left((\pi )/(2)\:-x\right)
=\csc \left(x\right)

hope this helps!!

answered
User RHPT
by
8.5k points

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