Question

Verify the identity
Sec^6x(TanxSecx)- Sec^4(TanxSecx)= Sec^5xTan^3x

Answer 1

\[\sec ^{6}x \left( \tan x \sec x \right)-\sec ^{4}x \left( \tan x \sec x \right)=\tan x \sec x \sec ^{4}x \left( \sec ^{2}x-1 \right)\]
\[=\tan x \sec ^{5}x \tan ^{2}x=R.H.S.\]

Answer 2

Thank you!

Answer 3

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