Question

Verify:
sec²cotx-cotx = tanx

Answer 1

you will need the following identities: sec^2(x) = 1 - tan^2(x) and cot(x) = 1/tan(x). if you make the right substitutions it's practically self working

Answer 2

...but can you show me?

Answer 3

factor out a cotx first from the left side

Answer 4

\[cotx(\sec^2x-1)=tanx\]
\[cotx(\tan^2x)=tanx\]
\[\frac{1}{tanx}\tan^2x=tanx\]
tanx=tanx

Answer 5

Multiply both sides by tan x, simplify to get \[\sec ^{2}x-1=\tan ^{2}x\]which is an identity.

Answer 6

Nice Dockworker.

Answer 7

u too