How do you verify the identify $sec^2theta-tan^2theta=1$ ?

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Answer 1 · 2016-09-15T04:06:52

Verify trig identity

Since:
$sec^2 t = 1/(cos^2 t)$
$1 - sin^2 t = cos^2 t$
We get:
$1/(cos^2 t) - (sin^2 t)/(cos^2 t) = (1 - sin^2 t)/cos^2 t = cos^2 t/(cos^2 t) = 1$

How do you verify the identify sec^2theta-tan^2theta=1sec^2theta-tan^2theta=1?