A reciprocal product
A reciprocal product
4 marks
TGM Original
Prove that (sec x+tan x)(sec x-tan x)=1, wherever both sides are defined. State the restrictions on x. Hence explain why sec x+tan x cannot be zero on this domain.
Solution:
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Answer:\((\sec x+\tan x)(\sec x-\tan x)=1\), for \(\cos x\ne0\). Also \(\sec x+\tan x\ne0\).
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