How do you verify the identity $cosx+cosxtan^2x=secx$ ?

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Answer 1 · 2016-11-14T01:58:28

Use the following identities:

• $tantheta = sintheta/costheta$
• $sectheta = 1/costheta$

$cosx + cosx xx sin^2x/cos^2x = 1/cosx$

$cosx + sin^2x/cosx = 1/cosx$

$(cos^2x + sin^2x)/cosx = 1/cosx$

Use the identity $sin^2theta + cos^2theta = 1$ .

$1/cosx = 1/cosx$

$LHS = RHS$

Hopefully this helps!

How do you verify the identity cosx+cosxtan^2x=secxcosx+cosxtan^2x=secx?